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Simplifying 3(x + -4) + 2x = 4(x + -12) Reorder the terms: 3(-4 + x) + 2x = 4(x + -12) (-4 * 3 + x * 3) + 2x = 4(x + -12) (-12 + 3x) + 2x = 4(x + -12) Combine like terms: 3x + 2x = 5x -12 + 5x = 4(x + -12) Reorder the terms: -12 + 5x = 4(-12 + x) -12 + 5x = (-12 * 4 + x * 4) -12 + 5x = (-48 + 4x) Solving -12 + 5x = -48 + 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. -12 + 5x + -4x = -48 + 4x + -4x Combine like terms: 5x + -4x = 1x -12 + 1x = -48 + 4x + -4x Combine like terms: 4x + -4x = 0 -12 + 1x = -48 + 0 -12 + 1x = -48 Add '12' to each side of the equation. -12 + 12 + 1x = -48 + 12 Combine like terms: -12 + 12 = 0 0 + 1x = -48 + 12 1x = -48 + 12 Combine like terms: -48 + 12 = -36 1x = -36 Divide each side by '1'. x = -36 Simplifying x = -36
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