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Simplifying 3(x + -4) + -2(x + -7) = 5x + -2 Reorder the terms: 3(-4 + x) + -2(x + -7) = 5x + -2 (-4 * 3 + x * 3) + -2(x + -7) = 5x + -2 (-12 + 3x) + -2(x + -7) = 5x + -2 Reorder the terms: -12 + 3x + -2(-7 + x) = 5x + -2 -12 + 3x + (-7 * -2 + x * -2) = 5x + -2 -12 + 3x + (14 + -2x) = 5x + -2 Reorder the terms: -12 + 14 + 3x + -2x = 5x + -2 Combine like terms: -12 + 14 = 2 2 + 3x + -2x = 5x + -2 Combine like terms: 3x + -2x = 1x 2 + 1x = 5x + -2 Reorder the terms: 2 + 1x = -2 + 5x Solving 2 + 1x = -2 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 2 + 1x + -5x = -2 + 5x + -5x Combine like terms: 1x + -5x = -4x 2 + -4x = -2 + 5x + -5x Combine like terms: 5x + -5x = 0 2 + -4x = -2 + 0 2 + -4x = -2 Add '-2' to each side of the equation. 2 + -2 + -4x = -2 + -2 Combine like terms: 2 + -2 = 0 0 + -4x = -2 + -2 -4x = -2 + -2 Combine like terms: -2 + -2 = -4 -4x = -4 Divide each side by '-4'. x = 1 Simplifying x = 1
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