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Simplifying 5(4x + -4) + 5(17 + -3x) = 2(2x + 3) + -5 Reorder the terms: 5(-4 + 4x) + 5(17 + -3x) = 2(2x + 3) + -5 (-4 * 5 + 4x * 5) + 5(17 + -3x) = 2(2x + 3) + -5 (-20 + 20x) + 5(17 + -3x) = 2(2x + 3) + -5 -20 + 20x + (17 * 5 + -3x * 5) = 2(2x + 3) + -5 -20 + 20x + (85 + -15x) = 2(2x + 3) + -5 Reorder the terms: -20 + 85 + 20x + -15x = 2(2x + 3) + -5 Combine like terms: -20 + 85 = 65 65 + 20x + -15x = 2(2x + 3) + -5 Combine like terms: 20x + -15x = 5x 65 + 5x = 2(2x + 3) + -5 Reorder the terms: 65 + 5x = 2(3 + 2x) + -5 65 + 5x = (3 * 2 + 2x * 2) + -5 65 + 5x = (6 + 4x) + -5 Reorder the terms: 65 + 5x = 6 + -5 + 4x Combine like terms: 6 + -5 = 1 65 + 5x = 1 + 4x Solving 65 + 5x = 1 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 65 + 5x + -4x = 1 + 4x + -4x Combine like terms: 5x + -4x = 1x 65 + 1x = 1 + 4x + -4x Combine like terms: 4x + -4x = 0 65 + 1x = 1 + 0 65 + 1x = 1 Add '-65' to each side of the equation. 65 + -65 + 1x = 1 + -65 Combine like terms: 65 + -65 = 0 0 + 1x = 1 + -65 1x = 1 + -65 Combine like terms: 1 + -65 = -64 1x = -64 Divide each side by '1'. x = -64 Simplifying x = -64
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