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Simplifying 4(x + -6) + -3(x + 5) = 2(x + 3) + 2(x + -6) Reorder the terms: 4(-6 + x) + -3(x + 5) = 2(x + 3) + 2(x + -6) (-6 * 4 + x * 4) + -3(x + 5) = 2(x + 3) + 2(x + -6) (-24 + 4x) + -3(x + 5) = 2(x + 3) + 2(x + -6) Reorder the terms: -24 + 4x + -3(5 + x) = 2(x + 3) + 2(x + -6) -24 + 4x + (5 * -3 + x * -3) = 2(x + 3) + 2(x + -6) -24 + 4x + (-15 + -3x) = 2(x + 3) + 2(x + -6) Reorder the terms: -24 + -15 + 4x + -3x = 2(x + 3) + 2(x + -6) Combine like terms: -24 + -15 = -39 -39 + 4x + -3x = 2(x + 3) + 2(x + -6) Combine like terms: 4x + -3x = 1x -39 + 1x = 2(x + 3) + 2(x + -6) Reorder the terms: -39 + 1x = 2(3 + x) + 2(x + -6) -39 + 1x = (3 * 2 + x * 2) + 2(x + -6) -39 + 1x = (6 + 2x) + 2(x + -6) Reorder the terms: -39 + 1x = 6 + 2x + 2(-6 + x) -39 + 1x = 6 + 2x + (-6 * 2 + x * 2) -39 + 1x = 6 + 2x + (-12 + 2x) Reorder the terms: -39 + 1x = 6 + -12 + 2x + 2x Combine like terms: 6 + -12 = -6 -39 + 1x = -6 + 2x + 2x Combine like terms: 2x + 2x = 4x -39 + 1x = -6 + 4x Solving -39 + 1x = -6 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -39 + 1x + -4x = -6 + 4x + -4x Combine like terms: 1x + -4x = -3x -39 + -3x = -6 + 4x + -4x Combine like terms: 4x + -4x = 0 -39 + -3x = -6 + 0 -39 + -3x = -6 Add '39' to each side of the equation. -39 + 39 + -3x = -6 + 39 Combine like terms: -39 + 39 = 0 0 + -3x = -6 + 39 -3x = -6 + 39 Combine like terms: -6 + 39 = 33 -3x = 33 Divide each side by '-3'. x = -11 Simplifying x = -11
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