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Simplifying 4(5x + -3) + 5(8 + -2x) = 3(3x + 2) + -4 Reorder the terms: 4(-3 + 5x) + 5(8 + -2x) = 3(3x + 2) + -4 (-3 * 4 + 5x * 4) + 5(8 + -2x) = 3(3x + 2) + -4 (-12 + 20x) + 5(8 + -2x) = 3(3x + 2) + -4 -12 + 20x + (8 * 5 + -2x * 5) = 3(3x + 2) + -4 -12 + 20x + (40 + -10x) = 3(3x + 2) + -4 Reorder the terms: -12 + 40 + 20x + -10x = 3(3x + 2) + -4 Combine like terms: -12 + 40 = 28 28 + 20x + -10x = 3(3x + 2) + -4 Combine like terms: 20x + -10x = 10x 28 + 10x = 3(3x + 2) + -4 Reorder the terms: 28 + 10x = 3(2 + 3x) + -4 28 + 10x = (2 * 3 + 3x * 3) + -4 28 + 10x = (6 + 9x) + -4 Reorder the terms: 28 + 10x = 6 + -4 + 9x Combine like terms: 6 + -4 = 2 28 + 10x = 2 + 9x Solving 28 + 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. 28 + 10x + -9x = 2 + 9x + -9x Combine like terms: 10x + -9x = 1x 28 + 1x = 2 + 9x + -9x Combine like terms: 9x + -9x = 0 28 + 1x = 2 + 0 28 + 1x = 2 Add '-28' to each side of the equation. 28 + -28 + 1x = 2 + -28 Combine like terms: 28 + -28 = 0 0 + 1x = 2 + -28 1x = 2 + -28 Combine like terms: 2 + -28 = -26 1x = -26 Divide each side by '1'. x = -26 Simplifying x = -26
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