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Simplifying 5(4x + -4) + 3(8 + -3x) + -5(2x + 4) = -1 Reorder the terms: 5(-4 + 4x) + 3(8 + -3x) + -5(2x + 4) = -1 (-4 * 5 + 4x * 5) + 3(8 + -3x) + -5(2x + 4) = -1 (-20 + 20x) + 3(8 + -3x) + -5(2x + 4) = -1 -20 + 20x + (8 * 3 + -3x * 3) + -5(2x + 4) = -1 -20 + 20x + (24 + -9x) + -5(2x + 4) = -1 Reorder the terms: -20 + 20x + 24 + -9x + -5(4 + 2x) = -1 -20 + 20x + 24 + -9x + (4 * -5 + 2x * -5) = -1 -20 + 20x + 24 + -9x + (-20 + -10x) = -1 Reorder the terms: -20 + 24 + -20 + 20x + -9x + -10x = -1 Combine like terms: -20 + 24 = 4 4 + -20 + 20x + -9x + -10x = -1 Combine like terms: 4 + -20 = -16 -16 + 20x + -9x + -10x = -1 Combine like terms: 20x + -9x = 11x -16 + 11x + -10x = -1 Combine like terms: 11x + -10x = 1x -16 + 1x = -1 Solving -16 + 1x = -1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 1x = -1 + 16 Combine like terms: -16 + 16 = 0 0 + 1x = -1 + 16 1x = -1 + 16 Combine like terms: -1 + 16 = 15 1x = 15 Divide each side by '1'. x = 15 Simplifying x = 15
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