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Simplifying 5(x + -1) + 16(2x + 3) = 3(2x + -1) + -1x Reorder the terms: 5(-1 + x) + 16(2x + 3) = 3(2x + -1) + -1x (-1 * 5 + x * 5) + 16(2x + 3) = 3(2x + -1) + -1x (-5 + 5x) + 16(2x + 3) = 3(2x + -1) + -1x Reorder the terms: -5 + 5x + 16(3 + 2x) = 3(2x + -1) + -1x -5 + 5x + (3 * 16 + 2x * 16) = 3(2x + -1) + -1x -5 + 5x + (48 + 32x) = 3(2x + -1) + -1x Reorder the terms: -5 + 48 + 5x + 32x = 3(2x + -1) + -1x Combine like terms: -5 + 48 = 43 43 + 5x + 32x = 3(2x + -1) + -1x Combine like terms: 5x + 32x = 37x 43 + 37x = 3(2x + -1) + -1x Reorder the terms: 43 + 37x = 3(-1 + 2x) + -1x 43 + 37x = (-1 * 3 + 2x * 3) + -1x 43 + 37x = (-3 + 6x) + -1x Combine like terms: 6x + -1x = 5x 43 + 37x = -3 + 5x Solving 43 + 37x = -3 + 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. 43 + 37x + -5x = -3 + 5x + -5x Combine like terms: 37x + -5x = 32x 43 + 32x = -3 + 5x + -5x Combine like terms: 5x + -5x = 0 43 + 32x = -3 + 0 43 + 32x = -3 Add '-43' to each side of the equation. 43 + -43 + 32x = -3 + -43 Combine like terms: 43 + -43 = 0 0 + 32x = -3 + -43 32x = -3 + -43 Combine like terms: -3 + -43 = -46 32x = -46 Divide each side by '32'. x = -1.4375 Simplifying x = -1.4375
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