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Simplifying 5(4x + -2) + -5(2x + -8) = 3(3x + 1) + -2 Reorder the terms: 5(-2 + 4x) + -5(2x + -8) = 3(3x + 1) + -2 (-2 * 5 + 4x * 5) + -5(2x + -8) = 3(3x + 1) + -2 (-10 + 20x) + -5(2x + -8) = 3(3x + 1) + -2 Reorder the terms: -10 + 20x + -5(-8 + 2x) = 3(3x + 1) + -2 -10 + 20x + (-8 * -5 + 2x * -5) = 3(3x + 1) + -2 -10 + 20x + (40 + -10x) = 3(3x + 1) + -2 Reorder the terms: -10 + 40 + 20x + -10x = 3(3x + 1) + -2 Combine like terms: -10 + 40 = 30 30 + 20x + -10x = 3(3x + 1) + -2 Combine like terms: 20x + -10x = 10x 30 + 10x = 3(3x + 1) + -2 Reorder the terms: 30 + 10x = 3(1 + 3x) + -2 30 + 10x = (1 * 3 + 3x * 3) + -2 30 + 10x = (3 + 9x) + -2 Reorder the terms: 30 + 10x = 3 + -2 + 9x Combine like terms: 3 + -2 = 1 30 + 10x = 1 + 9x Solving 30 + 10x = 1 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 30 + 10x + -9x = 1 + 9x + -9x Combine like terms: 10x + -9x = 1x 30 + 1x = 1 + 9x + -9x Combine like terms: 9x + -9x = 0 30 + 1x = 1 + 0 30 + 1x = 1 Add '-30' to each side of the equation. 30 + -30 + 1x = 1 + -30 Combine like terms: 30 + -30 = 0 0 + 1x = 1 + -30 1x = 1 + -30 Combine like terms: 1 + -30 = -29 1x = -29 Divide each side by '1'. x = -29 Simplifying x = -29
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