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Simplifying -5(x + -7) = 3(x + -2) + 2x Reorder the terms: -5(-7 + x) = 3(x + -2) + 2x (-7 * -5 + x * -5) = 3(x + -2) + 2x (35 + -5x) = 3(x + -2) + 2x Reorder the terms: 35 + -5x = 3(-2 + x) + 2x 35 + -5x = (-2 * 3 + x * 3) + 2x 35 + -5x = (-6 + 3x) + 2x Combine like terms: 3x + 2x = 5x 35 + -5x = -6 + 5x Solving 35 + -5x = -6 + 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. 35 + -5x + -5x = -6 + 5x + -5x Combine like terms: -5x + -5x = -10x 35 + -10x = -6 + 5x + -5x Combine like terms: 5x + -5x = 0 35 + -10x = -6 + 0 35 + -10x = -6 Add '-35' to each side of the equation. 35 + -35 + -10x = -6 + -35 Combine like terms: 35 + -35 = 0 0 + -10x = -6 + -35 -10x = -6 + -35 Combine like terms: -6 + -35 = -41 -10x = -41 Divide each side by '-10'. x = 4.1 Simplifying x = 4.1
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