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Simplifying -4(2x + -5) = 2(x + -7) Reorder the terms: -4(-5 + 2x) = 2(x + -7) (-5 * -4 + 2x * -4) = 2(x + -7) (20 + -8x) = 2(x + -7) Reorder the terms: 20 + -8x = 2(-7 + x) 20 + -8x = (-7 * 2 + x * 2) 20 + -8x = (-14 + 2x) Solving 20 + -8x = -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 + -8x + -2x = -14 + 2x + -2x Combine like terms: -8x + -2x = -10x 20 + -10x = -14 + 2x + -2x Combine like terms: 2x + -2x = 0 20 + -10x = -14 + 0 20 + -10x = -14 Add '-20' to each side of the equation. 20 + -20 + -10x = -14 + -20 Combine like terms: 20 + -20 = 0 0 + -10x = -14 + -20 -10x = -14 + -20 Combine like terms: -14 + -20 = -34 -10x = -34 Divide each side by '-10'. x = 3.4 Simplifying x = 3.4
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