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Simplifying 1 + 2(x + 6) = 5(x + -1) Reorder the terms: 1 + 2(6 + x) = 5(x + -1) 1 + (6 * 2 + x * 2) = 5(x + -1) 1 + (12 + 2x) = 5(x + -1) Combine like terms: 1 + 12 = 13 13 + 2x = 5(x + -1) Reorder the terms: 13 + 2x = 5(-1 + x) 13 + 2x = (-1 * 5 + x * 5) 13 + 2x = (-5 + 5x) Solving 13 + 2x = -5 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 13 + 2x + -5x = -5 + 5x + -5x Combine like terms: 2x + -5x = -3x 13 + -3x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 13 + -3x = -5 + 0 13 + -3x = -5 Add '-13' to each side of the equation. 13 + -13 + -3x = -5 + -13 Combine like terms: 13 + -13 = 0 0 + -3x = -5 + -13 -3x = -5 + -13 Combine like terms: -5 + -13 = -18 -3x = -18 Divide each side by '-3'. x = 6 Simplifying x = 6
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