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Simplifying 388 = 2(3x + -8) + 2(5x + 9) Reorder the terms: 388 = 2(-8 + 3x) + 2(5x + 9) 388 = (-8 * 2 + 3x * 2) + 2(5x + 9) 388 = (-16 + 6x) + 2(5x + 9) Reorder the terms: 388 = -16 + 6x + 2(9 + 5x) 388 = -16 + 6x + (9 * 2 + 5x * 2) 388 = -16 + 6x + (18 + 10x) Reorder the terms: 388 = -16 + 18 + 6x + 10x Combine like terms: -16 + 18 = 2 388 = 2 + 6x + 10x Combine like terms: 6x + 10x = 16x 388 = 2 + 16x Solving 388 = 2 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 388 + -16x = 2 + 16x + -16x Combine like terms: 16x + -16x = 0 388 + -16x = 2 + 0 388 + -16x = 2 Add '-388' to each side of the equation. 388 + -388 + -16x = 2 + -388 Combine like terms: 388 + -388 = 0 0 + -16x = 2 + -388 -16x = 2 + -388 Combine like terms: 2 + -388 = -386 -16x = -386 Divide each side by '-16'. x = 24.125 Simplifying x = 24.125
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