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Simplifying 4(5x + -2) + -5 = 17(x + -4) + 64 Reorder the terms: 4(-2 + 5x) + -5 = 17(x + -4) + 64 (-2 * 4 + 5x * 4) + -5 = 17(x + -4) + 64 (-8 + 20x) + -5 = 17(x + -4) + 64 Reorder the terms: -8 + -5 + 20x = 17(x + -4) + 64 Combine like terms: -8 + -5 = -13 -13 + 20x = 17(x + -4) + 64 Reorder the terms: -13 + 20x = 17(-4 + x) + 64 -13 + 20x = (-4 * 17 + x * 17) + 64 -13 + 20x = (-68 + 17x) + 64 Reorder the terms: -13 + 20x = -68 + 64 + 17x Combine like terms: -68 + 64 = -4 -13 + 20x = -4 + 17x Solving -13 + 20x = -4 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. -13 + 20x + -17x = -4 + 17x + -17x Combine like terms: 20x + -17x = 3x -13 + 3x = -4 + 17x + -17x Combine like terms: 17x + -17x = 0 -13 + 3x = -4 + 0 -13 + 3x = -4 Add '13' to each side of the equation. -13 + 13 + 3x = -4 + 13 Combine like terms: -13 + 13 = 0 0 + 3x = -4 + 13 3x = -4 + 13 Combine like terms: -4 + 13 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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