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Simplifying 90 = (x) + (x + 5) + (x + 10) + (x + 15) + (x + 20) + (x + 25) 90 = x + (x + 5) + (x + 10) + (x + 15) + (x + 20) + (x + 25) Reorder the terms: 90 = x + (5 + x) + (x + 10) + (x + 15) + (x + 20) + (x + 25) Remove parenthesis around (5 + x) 90 = x + 5 + x + (x + 10) + (x + 15) + (x + 20) + (x + 25) Reorder the terms: 90 = x + 5 + x + (10 + x) + (x + 15) + (x + 20) + (x + 25) Remove parenthesis around (10 + x) 90 = x + 5 + x + 10 + x + (x + 15) + (x + 20) + (x + 25) Reorder the terms: 90 = x + 5 + x + 10 + x + (15 + x) + (x + 20) + (x + 25) Remove parenthesis around (15 + x) 90 = x + 5 + x + 10 + x + 15 + x + (x + 20) + (x + 25) Reorder the terms: 90 = x + 5 + x + 10 + x + 15 + x + (20 + x) + (x + 25) Remove parenthesis around (20 + x) 90 = x + 5 + x + 10 + x + 15 + x + 20 + x + (x + 25) Reorder the terms: 90 = x + 5 + x + 10 + x + 15 + x + 20 + x + (25 + x) Remove parenthesis around (25 + x) 90 = x + 5 + x + 10 + x + 15 + x + 20 + x + 25 + x Reorder the terms: 90 = 5 + 10 + 15 + 20 + 25 + x + x + x + x + x + x Combine like terms: 5 + 10 = 15 90 = 15 + 15 + 20 + 25 + x + x + x + x + x + x Combine like terms: 15 + 15 = 30 90 = 30 + 20 + 25 + x + x + x + x + x + x Combine like terms: 30 + 20 = 50 90 = 50 + 25 + x + x + x + x + x + x Combine like terms: 50 + 25 = 75 90 = 75 + x + x + x + x + x + x Combine like terms: x + x = 2x 90 = 75 + 2x + x + x + x + x Combine like terms: 2x + x = 3x 90 = 75 + 3x + x + x + x Combine like terms: 3x + x = 4x 90 = 75 + 4x + x + x Combine like terms: 4x + x = 5x 90 = 75 + 5x + x Combine like terms: 5x + x = 6x 90 = 75 + 6x Solving 90 = 75 + 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. 90 + -6x = 75 + 6x + -6x Combine like terms: 6x + -6x = 0 90 + -6x = 75 + 0 90 + -6x = 75 Add '-90' to each side of the equation. 90 + -90 + -6x = 75 + -90 Combine like terms: 90 + -90 = 0 0 + -6x = 75 + -90 -6x = 75 + -90 Combine like terms: 75 + -90 = -15 -6x = -15 Divide each side by '-6'. x = 2.5 Simplifying x = 2.5
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