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Simplifying 6x + 4(x + 16) = 17(x + 9) Reorder the terms: 6x + 4(16 + x) = 17(x + 9) 6x + (16 * 4 + x * 4) = 17(x + 9) 6x + (64 + 4x) = 17(x + 9) Reorder the terms: 64 + 6x + 4x = 17(x + 9) Combine like terms: 6x + 4x = 10x 64 + 10x = 17(x + 9) Reorder the terms: 64 + 10x = 17(9 + x) 64 + 10x = (9 * 17 + x * 17) 64 + 10x = (153 + 17x) Solving 64 + 10x = 153 + 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. 64 + 10x + -17x = 153 + 17x + -17x Combine like terms: 10x + -17x = -7x 64 + -7x = 153 + 17x + -17x Combine like terms: 17x + -17x = 0 64 + -7x = 153 + 0 64 + -7x = 153 Add '-64' to each side of the equation. 64 + -64 + -7x = 153 + -64 Combine like terms: 64 + -64 = 0 0 + -7x = 153 + -64 -7x = 153 + -64 Combine like terms: 153 + -64 = 89 -7x = 89 Divide each side by '-7'. x = -12.71428571 Simplifying x = -12.71428571
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