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Simplifying -4(x + 5) + 3x = 2(x + -7) Reorder the terms: -4(5 + x) + 3x = 2(x + -7) (5 * -4 + x * -4) + 3x = 2(x + -7) (-20 + -4x) + 3x = 2(x + -7) Combine like terms: -4x + 3x = -1x -20 + -1x = 2(x + -7) Reorder the terms: -20 + -1x = 2(-7 + x) -20 + -1x = (-7 * 2 + x * 2) -20 + -1x = (-14 + 2x) Solving -20 + -1x = -14 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -20 + -1x + -2x = -14 + 2x + -2x Combine like terms: -1x + -2x = -3x -20 + -3x = -14 + 2x + -2x Combine like terms: 2x + -2x = 0 -20 + -3x = -14 + 0 -20 + -3x = -14 Add '20' to each side of the equation. -20 + 20 + -3x = -14 + 20 Combine like terms: -20 + 20 = 0 0 + -3x = -14 + 20 -3x = -14 + 20 Combine like terms: -14 + 20 = 6 -3x = 6 Divide each side by '-3'. x = -2 Simplifying x = -2
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