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Simplifying 220 + -7(9x + 8) = 5(10 + -5x) Reorder the terms: 220 + -7(8 + 9x) = 5(10 + -5x) 220 + (8 * -7 + 9x * -7) = 5(10 + -5x) 220 + (-56 + -63x) = 5(10 + -5x) Combine like terms: 220 + -56 = 164 164 + -63x = 5(10 + -5x) 164 + -63x = (10 * 5 + -5x * 5) 164 + -63x = (50 + -25x) Solving 164 + -63x = 50 + -25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25x' to each side of the equation. 164 + -63x + 25x = 50 + -25x + 25x Combine like terms: -63x + 25x = -38x 164 + -38x = 50 + -25x + 25x Combine like terms: -25x + 25x = 0 164 + -38x = 50 + 0 164 + -38x = 50 Add '-164' to each side of the equation. 164 + -164 + -38x = 50 + -164 Combine like terms: 164 + -164 = 0 0 + -38x = 50 + -164 -38x = 50 + -164 Combine like terms: 50 + -164 = -114 -38x = -114 Divide each side by '-38'. x = 3 Simplifying x = 3
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