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Simplifying 5(4x + -2) + 5(9 + -2x) = 3(3x + 1) + -1 Reorder the terms: 5(-2 + 4x) + 5(9 + -2x) = 3(3x + 1) + -1 (-2 * 5 + 4x * 5) + 5(9 + -2x) = 3(3x + 1) + -1 (-10 + 20x) + 5(9 + -2x) = 3(3x + 1) + -1 -10 + 20x + (9 * 5 + -2x * 5) = 3(3x + 1) + -1 -10 + 20x + (45 + -10x) = 3(3x + 1) + -1 Reorder the terms: -10 + 45 + 20x + -10x = 3(3x + 1) + -1 Combine like terms: -10 + 45 = 35 35 + 20x + -10x = 3(3x + 1) + -1 Combine like terms: 20x + -10x = 10x 35 + 10x = 3(3x + 1) + -1 Reorder the terms: 35 + 10x = 3(1 + 3x) + -1 35 + 10x = (1 * 3 + 3x * 3) + -1 35 + 10x = (3 + 9x) + -1 Reorder the terms: 35 + 10x = 3 + -1 + 9x Combine like terms: 3 + -1 = 2 35 + 10x = 2 + 9x Solving 35 + 10x = 2 + 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. 35 + 10x + -9x = 2 + 9x + -9x Combine like terms: 10x + -9x = 1x 35 + 1x = 2 + 9x + -9x Combine like terms: 9x + -9x = 0 35 + 1x = 2 + 0 35 + 1x = 2 Add '-35' to each side of the equation. 35 + -35 + 1x = 2 + -35 Combine like terms: 35 + -35 = 0 0 + 1x = 2 + -35 1x = 2 + -35 Combine like terms: 2 + -35 = -33 1x = -33 Divide each side by '1'. x = -33 Simplifying x = -33
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