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Simplifying -10x + 8 = -4(5x + 3) Reorder the terms: 8 + -10x = -4(5x + 3) Reorder the terms: 8 + -10x = -4(3 + 5x) 8 + -10x = (3 * -4 + 5x * -4) 8 + -10x = (-12 + -20x) Solving 8 + -10x = -12 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. 8 + -10x + 20x = -12 + -20x + 20x Combine like terms: -10x + 20x = 10x 8 + 10x = -12 + -20x + 20x Combine like terms: -20x + 20x = 0 8 + 10x = -12 + 0 8 + 10x = -12 Add '-8' to each side of the equation. 8 + -8 + 10x = -12 + -8 Combine like terms: 8 + -8 = 0 0 + 10x = -12 + -8 10x = -12 + -8 Combine like terms: -12 + -8 = -20 10x = -20 Divide each side by '10'. x = -2 Simplifying x = -2
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