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Simplifying 5(x + -1) + 16(2x + 3) = 3(2x + -7) + -1 Reorder the terms: 5(-1 + x) + 16(2x + 3) = 3(2x + -7) + -1 (-1 * 5 + x * 5) + 16(2x + 3) = 3(2x + -7) + -1 (-5 + 5x) + 16(2x + 3) = 3(2x + -7) + -1 Reorder the terms: -5 + 5x + 16(3 + 2x) = 3(2x + -7) + -1 -5 + 5x + (3 * 16 + 2x * 16) = 3(2x + -7) + -1 -5 + 5x + (48 + 32x) = 3(2x + -7) + -1 Reorder the terms: -5 + 48 + 5x + 32x = 3(2x + -7) + -1 Combine like terms: -5 + 48 = 43 43 + 5x + 32x = 3(2x + -7) + -1 Combine like terms: 5x + 32x = 37x 43 + 37x = 3(2x + -7) + -1 Reorder the terms: 43 + 37x = 3(-7 + 2x) + -1 43 + 37x = (-7 * 3 + 2x * 3) + -1 43 + 37x = (-21 + 6x) + -1 Reorder the terms: 43 + 37x = -21 + -1 + 6x Combine like terms: -21 + -1 = -22 43 + 37x = -22 + 6x Solving 43 + 37x = -22 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 43 + 37x + -6x = -22 + 6x + -6x Combine like terms: 37x + -6x = 31x 43 + 31x = -22 + 6x + -6x Combine like terms: 6x + -6x = 0 43 + 31x = -22 + 0 43 + 31x = -22 Add '-43' to each side of the equation. 43 + -43 + 31x = -22 + -43 Combine like terms: 43 + -43 = 0 0 + 31x = -22 + -43 31x = -22 + -43 Combine like terms: -22 + -43 = -65 31x = -65 Divide each side by '31'. x = -2.096774194 Simplifying x = -2.096774194
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