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Simplifying 3x + -4(-5 + -2x) = 5(2x + 6) 3x + (-5 * -4 + -2x * -4) = 5(2x + 6) 3x + (20 + 8x) = 5(2x + 6) Reorder the terms: 20 + 3x + 8x = 5(2x + 6) Combine like terms: 3x + 8x = 11x 20 + 11x = 5(2x + 6) Reorder the terms: 20 + 11x = 5(6 + 2x) 20 + 11x = (6 * 5 + 2x * 5) 20 + 11x = (30 + 10x) Solving 20 + 11x = 30 + 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. 20 + 11x + -10x = 30 + 10x + -10x Combine like terms: 11x + -10x = 1x 20 + 1x = 30 + 10x + -10x Combine like terms: 10x + -10x = 0 20 + 1x = 30 + 0 20 + 1x = 30 Add '-20' to each side of the equation. 20 + -20 + 1x = 30 + -20 Combine like terms: 20 + -20 = 0 0 + 1x = 30 + -20 1x = 30 + -20 Combine like terms: 30 + -20 = 10 1x = 10 Divide each side by '1'. x = 10 Simplifying x = 10
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