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Simplifying 3(1 + 2x) + 13 = -1(x + -2) (1 * 3 + 2x * 3) + 13 = -1(x + -2) (3 + 6x) + 13 = -1(x + -2) Reorder the terms: 3 + 13 + 6x = -1(x + -2) Combine like terms: 3 + 13 = 16 16 + 6x = -1(x + -2) Reorder the terms: 16 + 6x = -1(-2 + x) 16 + 6x = (-2 * -1 + x * -1) 16 + 6x = (2 + -1x) Solving 16 + 6x = 2 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 16 + 6x + x = 2 + -1x + x Combine like terms: 6x + x = 7x 16 + 7x = 2 + -1x + x Combine like terms: -1x + x = 0 16 + 7x = 2 + 0 16 + 7x = 2 Add '-16' to each side of the equation. 16 + -16 + 7x = 2 + -16 Combine like terms: 16 + -16 = 0 0 + 7x = 2 + -16 7x = 2 + -16 Combine like terms: 2 + -16 = -14 7x = -14 Divide each side by '7'. x = -2 Simplifying x = -2
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