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