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Simplifying 3(x + -1) + -2(x + -3) = 6(2x + -4) Reorder the terms: 3(-1 + x) + -2(x + -3) = 6(2x + -4) (-1 * 3 + x * 3) + -2(x + -3) = 6(2x + -4) (-3 + 3x) + -2(x + -3) = 6(2x + -4) Reorder the terms: -3 + 3x + -2(-3 + x) = 6(2x + -4) -3 + 3x + (-3 * -2 + x * -2) = 6(2x + -4) -3 + 3x + (6 + -2x) = 6(2x + -4) Reorder the terms: -3 + 6 + 3x + -2x = 6(2x + -4) Combine like terms: -3 + 6 = 3 3 + 3x + -2x = 6(2x + -4) Combine like terms: 3x + -2x = 1x 3 + 1x = 6(2x + -4) Reorder the terms: 3 + 1x = 6(-4 + 2x) 3 + 1x = (-4 * 6 + 2x * 6) 3 + 1x = (-24 + 12x) Solving 3 + 1x = -24 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 3 + 1x + -12x = -24 + 12x + -12x Combine like terms: 1x + -12x = -11x 3 + -11x = -24 + 12x + -12x Combine like terms: 12x + -12x = 0 3 + -11x = -24 + 0 3 + -11x = -24 Add '-3' to each side of the equation. 3 + -3 + -11x = -24 + -3 Combine like terms: 3 + -3 = 0 0 + -11x = -24 + -3 -11x = -24 + -3 Combine like terms: -24 + -3 = -27 -11x = -27 Divide each side by '-11'. x = 2.454545455 Simplifying x = 2.454545455
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