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Simplifying 5(x + -1) + 16(2x + 2) = 3(2x + -7) + -1x Reorder the terms: 5(-1 + x) + 16(2x + 2) = 3(2x + -7) + -1x (-1 * 5 + x * 5) + 16(2x + 2) = 3(2x + -7) + -1x (-5 + 5x) + 16(2x + 2) = 3(2x + -7) + -1x Reorder the terms: -5 + 5x + 16(2 + 2x) = 3(2x + -7) + -1x -5 + 5x + (2 * 16 + 2x * 16) = 3(2x + -7) + -1x -5 + 5x + (32 + 32x) = 3(2x + -7) + -1x Reorder the terms: -5 + 32 + 5x + 32x = 3(2x + -7) + -1x Combine like terms: -5 + 32 = 27 27 + 5x + 32x = 3(2x + -7) + -1x Combine like terms: 5x + 32x = 37x 27 + 37x = 3(2x + -7) + -1x Reorder the terms: 27 + 37x = 3(-7 + 2x) + -1x 27 + 37x = (-7 * 3 + 2x * 3) + -1x 27 + 37x = (-21 + 6x) + -1x Combine like terms: 6x + -1x = 5x 27 + 37x = -21 + 5x Solving 27 + 37x = -21 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 27 + 37x + -5x = -21 + 5x + -5x Combine like terms: 37x + -5x = 32x 27 + 32x = -21 + 5x + -5x Combine like terms: 5x + -5x = 0 27 + 32x = -21 + 0 27 + 32x = -21 Add '-27' to each side of the equation. 27 + -27 + 32x = -21 + -27 Combine like terms: 27 + -27 = 0 0 + 32x = -21 + -27 32x = -21 + -27 Combine like terms: -21 + -27 = -48 32x = -48 Divide each side by '32'. x = -1.5 Simplifying x = -1.5
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