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Simplifying 75 = (x) + (x + 5) + (x + 8) + (x + 11) + (x + 14) + (x + 17) 75 = x + (x + 5) + (x + 8) + (x + 11) + (x + 14) + (x + 17) Reorder the terms: 75 = x + (5 + x) + (x + 8) + (x + 11) + (x + 14) + (x + 17) Remove parenthesis around (5 + x) 75 = x + 5 + x + (x + 8) + (x + 11) + (x + 14) + (x + 17) Reorder the terms: 75 = x + 5 + x + (8 + x) + (x + 11) + (x + 14) + (x + 17) Remove parenthesis around (8 + x) 75 = x + 5 + x + 8 + x + (x + 11) + (x + 14) + (x + 17) Reorder the terms: 75 = x + 5 + x + 8 + x + (11 + x) + (x + 14) + (x + 17) Remove parenthesis around (11 + x) 75 = x + 5 + x + 8 + x + 11 + x + (x + 14) + (x + 17) Reorder the terms: 75 = x + 5 + x + 8 + x + 11 + x + (14 + x) + (x + 17) Remove parenthesis around (14 + x) 75 = x + 5 + x + 8 + x + 11 + x + 14 + x + (x + 17) Reorder the terms: 75 = x + 5 + x + 8 + x + 11 + x + 14 + x + (17 + x) Remove parenthesis around (17 + x) 75 = x + 5 + x + 8 + x + 11 + x + 14 + x + 17 + x Reorder the terms: 75 = 5 + 8 + 11 + 14 + 17 + x + x + x + x + x + x Combine like terms: 5 + 8 = 13 75 = 13 + 11 + 14 + 17 + x + x + x + x + x + x Combine like terms: 13 + 11 = 24 75 = 24 + 14 + 17 + x + x + x + x + x + x Combine like terms: 24 + 14 = 38 75 = 38 + 17 + x + x + x + x + x + x Combine like terms: 38 + 17 = 55 75 = 55 + x + x + x + x + x + x Combine like terms: x + x = 2x 75 = 55 + 2x + x + x + x + x Combine like terms: 2x + x = 3x 75 = 55 + 3x + x + x + x Combine like terms: 3x + x = 4x 75 = 55 + 4x + x + x Combine like terms: 4x + x = 5x 75 = 55 + 5x + x Combine like terms: 5x + x = 6x 75 = 55 + 6x Solving 75 = 55 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 75 + -6x = 55 + 6x + -6x Combine like terms: 6x + -6x = 0 75 + -6x = 55 + 0 75 + -6x = 55 Add '-75' to each side of the equation. 75 + -75 + -6x = 55 + -75 Combine like terms: 75 + -75 = 0 0 + -6x = 55 + -75 -6x = 55 + -75 Combine like terms: 55 + -75 = -20 -6x = -20 Divide each side by '-6'. x = 3.333333333 Simplifying x = 3.333333333
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