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Simplifying 6(2x + -3) + -13 = 2(x + -1) Reorder the terms: 6(-3 + 2x) + -13 = 2(x + -1) (-3 * 6 + 2x * 6) + -13 = 2(x + -1) (-18 + 12x) + -13 = 2(x + -1) Reorder the terms: -18 + -13 + 12x = 2(x + -1) Combine like terms: -18 + -13 = -31 -31 + 12x = 2(x + -1) Reorder the terms: -31 + 12x = 2(-1 + x) -31 + 12x = (-1 * 2 + x * 2) -31 + 12x = (-2 + 2x) Solving -31 + 12x = -2 + 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. -31 + 12x + -2x = -2 + 2x + -2x Combine like terms: 12x + -2x = 10x -31 + 10x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 -31 + 10x = -2 + 0 -31 + 10x = -2 Add '31' to each side of the equation. -31 + 31 + 10x = -2 + 31 Combine like terms: -31 + 31 = 0 0 + 10x = -2 + 31 10x = -2 + 31 Combine like terms: -2 + 31 = 29 10x = 29 Divide each side by '10'. x = 2.9 Simplifying x = 2.9
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