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Simplifying 4(x + 8) + -2(x + -6) = 3(x + -4) Reorder the terms: 4(8 + x) + -2(x + -6) = 3(x + -4) (8 * 4 + x * 4) + -2(x + -6) = 3(x + -4) (32 + 4x) + -2(x + -6) = 3(x + -4) Reorder the terms: 32 + 4x + -2(-6 + x) = 3(x + -4) 32 + 4x + (-6 * -2 + x * -2) = 3(x + -4) 32 + 4x + (12 + -2x) = 3(x + -4) Reorder the terms: 32 + 12 + 4x + -2x = 3(x + -4) Combine like terms: 32 + 12 = 44 44 + 4x + -2x = 3(x + -4) Combine like terms: 4x + -2x = 2x 44 + 2x = 3(x + -4) Reorder the terms: 44 + 2x = 3(-4 + x) 44 + 2x = (-4 * 3 + x * 3) 44 + 2x = (-12 + 3x) Solving 44 + 2x = -12 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 44 + 2x + -3x = -12 + 3x + -3x Combine like terms: 2x + -3x = -1x 44 + -1x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 44 + -1x = -12 + 0 44 + -1x = -12 Add '-44' to each side of the equation. 44 + -44 + -1x = -12 + -44 Combine like terms: 44 + -44 = 0 0 + -1x = -12 + -44 -1x = -12 + -44 Combine like terms: -12 + -44 = -56 -1x = -56 Divide each side by '-1'. x = 56 Simplifying x = 56
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