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Simplifying -5x = -3(x + 4) + 2(x + 2) Reorder the terms: -5x = -3(4 + x) + 2(x + 2) -5x = (4 * -3 + x * -3) + 2(x + 2) -5x = (-12 + -3x) + 2(x + 2) Reorder the terms: -5x = -12 + -3x + 2(2 + x) -5x = -12 + -3x + (2 * 2 + x * 2) -5x = -12 + -3x + (4 + 2x) Reorder the terms: -5x = -12 + 4 + -3x + 2x Combine like terms: -12 + 4 = -8 -5x = -8 + -3x + 2x Combine like terms: -3x + 2x = -1x -5x = -8 + -1x Solving -5x = -8 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -5x + x = -8 + -1x + x Combine like terms: -5x + x = -4x -4x = -8 + -1x + x Combine like terms: -1x + x = 0 -4x = -8 + 0 -4x = -8 Divide each side by '-4'. x = 2 Simplifying x = 2
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