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Simplifying -4(x + -5) = 2(3x + 5) Reorder the terms: -4(-5 + x) = 2(3x + 5) (-5 * -4 + x * -4) = 2(3x + 5) (20 + -4x) = 2(3x + 5) Reorder the terms: 20 + -4x = 2(5 + 3x) 20 + -4x = (5 * 2 + 3x * 2) 20 + -4x = (10 + 6x) Solving 20 + -4x = 10 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 20 + -4x + -6x = 10 + 6x + -6x Combine like terms: -4x + -6x = -10x 20 + -10x = 10 + 6x + -6x Combine like terms: 6x + -6x = 0 20 + -10x = 10 + 0 20 + -10x = 10 Add '-20' to each side of the equation. 20 + -20 + -10x = 10 + -20 Combine like terms: 20 + -20 = 0 0 + -10x = 10 + -20 -10x = 10 + -20 Combine like terms: 10 + -20 = -10 -10x = -10 Divide each side by '-10'. x = 1 Simplifying x = 1
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