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Simplifying 5 + -1(8x + -7) + 18 = 31x + -1(90 + 28x) + -45 Reorder the terms: 5 + -1(-7 + 8x) + 18 = 31x + -1(90 + 28x) + -45 5 + (-7 * -1 + 8x * -1) + 18 = 31x + -1(90 + 28x) + -45 5 + (7 + -8x) + 18 = 31x + -1(90 + 28x) + -45 Reorder the terms: 5 + 7 + 18 + -8x = 31x + -1(90 + 28x) + -45 Combine like terms: 5 + 7 = 12 12 + 18 + -8x = 31x + -1(90 + 28x) + -45 Combine like terms: 12 + 18 = 30 30 + -8x = 31x + -1(90 + 28x) + -45 30 + -8x = 31x + (90 * -1 + 28x * -1) + -45 30 + -8x = 31x + (-90 + -28x) + -45 Reorder the terms: 30 + -8x = -90 + -45 + 31x + -28x Combine like terms: -90 + -45 = -135 30 + -8x = -135 + 31x + -28x Combine like terms: 31x + -28x = 3x 30 + -8x = -135 + 3x Solving 30 + -8x = -135 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 30 + -8x + -3x = -135 + 3x + -3x Combine like terms: -8x + -3x = -11x 30 + -11x = -135 + 3x + -3x Combine like terms: 3x + -3x = 0 30 + -11x = -135 + 0 30 + -11x = -135 Add '-30' to each side of the equation. 30 + -30 + -11x = -135 + -30 Combine like terms: 30 + -30 = 0 0 + -11x = -135 + -30 -11x = -135 + -30 Combine like terms: -135 + -30 = -165 -11x = -165 Divide each side by '-11'. x = 15 Simplifying x = 15
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