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Simplifying 10x + 3(5 + -1x) = 2(x + -4) + -2 10x + (5 * 3 + -1x * 3) = 2(x + -4) + -2 10x + (15 + -3x) = 2(x + -4) + -2 Reorder the terms: 15 + 10x + -3x = 2(x + -4) + -2 Combine like terms: 10x + -3x = 7x 15 + 7x = 2(x + -4) + -2 Reorder the terms: 15 + 7x = 2(-4 + x) + -2 15 + 7x = (-4 * 2 + x * 2) + -2 15 + 7x = (-8 + 2x) + -2 Reorder the terms: 15 + 7x = -8 + -2 + 2x Combine like terms: -8 + -2 = -10 15 + 7x = -10 + 2x Solving 15 + 7x = -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. 15 + 7x + -2x = -10 + 2x + -2x Combine like terms: 7x + -2x = 5x 15 + 5x = -10 + 2x + -2x Combine like terms: 2x + -2x = 0 15 + 5x = -10 + 0 15 + 5x = -10 Add '-15' to each side of the equation. 15 + -15 + 5x = -10 + -15 Combine like terms: 15 + -15 = 0 0 + 5x = -10 + -15 5x = -10 + -15 Combine like terms: -10 + -15 = -25 5x = -25 Divide each side by '5'. x = -5 Simplifying x = -5
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