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Simplifying 5x + -2(x + -4) = 10(x + -2) Reorder the terms: 5x + -2(-4 + x) = 10(x + -2) 5x + (-4 * -2 + x * -2) = 10(x + -2) 5x + (8 + -2x) = 10(x + -2) Reorder the terms: 8 + 5x + -2x = 10(x + -2) Combine like terms: 5x + -2x = 3x 8 + 3x = 10(x + -2) Reorder the terms: 8 + 3x = 10(-2 + x) 8 + 3x = (-2 * 10 + x * 10) 8 + 3x = (-20 + 10x) Solving 8 + 3x = -20 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 8 + 3x + -10x = -20 + 10x + -10x Combine like terms: 3x + -10x = -7x 8 + -7x = -20 + 10x + -10x Combine like terms: 10x + -10x = 0 8 + -7x = -20 + 0 8 + -7x = -20 Add '-8' to each side of the equation. 8 + -8 + -7x = -20 + -8 Combine like terms: 8 + -8 = 0 0 + -7x = -20 + -8 -7x = -20 + -8 Combine like terms: -20 + -8 = -28 -7x = -28 Divide each side by '-7'. x = 4 Simplifying x = 4
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