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Simplifying 6(x + 1) + -2x + -1 = (x + 15) + (x + 16) Reorder the terms: 6(1 + x) + -2x + -1 = (x + 15) + (x + 16) (1 * 6 + x * 6) + -2x + -1 = (x + 15) + (x + 16) (6 + 6x) + -2x + -1 = (x + 15) + (x + 16) Reorder the terms: 6 + -1 + 6x + -2x = (x + 15) + (x + 16) Combine like terms: 6 + -1 = 5 5 + 6x + -2x = (x + 15) + (x + 16) Combine like terms: 6x + -2x = 4x 5 + 4x = (x + 15) + (x + 16) Reorder the terms: 5 + 4x = (15 + x) + (x + 16) Remove parenthesis around (15 + x) 5 + 4x = 15 + x + (x + 16) Reorder the terms: 5 + 4x = 15 + x + (16 + x) Remove parenthesis around (16 + x) 5 + 4x = 15 + x + 16 + x Reorder the terms: 5 + 4x = 15 + 16 + x + x Combine like terms: 15 + 16 = 31 5 + 4x = 31 + x + x Combine like terms: x + x = 2x 5 + 4x = 31 + 2x Solving 5 + 4x = 31 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 5 + 4x + -2x = 31 + 2x + -2x Combine like terms: 4x + -2x = 2x 5 + 2x = 31 + 2x + -2x Combine like terms: 2x + -2x = 0 5 + 2x = 31 + 0 5 + 2x = 31 Add '-5' to each side of the equation. 5 + -5 + 2x = 31 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 31 + -5 2x = 31 + -5 Combine like terms: 31 + -5 = 26 2x = 26 Divide each side by '2'. x = 13 Simplifying x = 13
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