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Simplifying -7(x + -4) + 2x = -2(x + -5) Reorder the terms: -7(-4 + x) + 2x = -2(x + -5) (-4 * -7 + x * -7) + 2x = -2(x + -5) (28 + -7x) + 2x = -2(x + -5) Combine like terms: -7x + 2x = -5x 28 + -5x = -2(x + -5) Reorder the terms: 28 + -5x = -2(-5 + x) 28 + -5x = (-5 * -2 + x * -2) 28 + -5x = (10 + -2x) Solving 28 + -5x = 10 + -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. 28 + -5x + 2x = 10 + -2x + 2x Combine like terms: -5x + 2x = -3x 28 + -3x = 10 + -2x + 2x Combine like terms: -2x + 2x = 0 28 + -3x = 10 + 0 28 + -3x = 10 Add '-28' to each side of the equation. 28 + -28 + -3x = 10 + -28 Combine like terms: 28 + -28 = 0 0 + -3x = 10 + -28 -3x = 10 + -28 Combine like terms: 10 + -28 = -18 -3x = -18 Divide each side by '-3'. x = 6 Simplifying x = 6
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