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Simplifying 5 + -1(8x + -7) + 18x = -31x + -1(90 + 28x) + -45 Reorder the terms: 5 + -1(-7 + 8x) + 18x = -31x + -1(90 + 28x) + -45 5 + (-7 * -1 + 8x * -1) + 18x = -31x + -1(90 + 28x) + -45 5 + (7 + -8x) + 18x = -31x + -1(90 + 28x) + -45 Combine like terms: 5 + 7 = 12 12 + -8x + 18x = -31x + -1(90 + 28x) + -45 Combine like terms: -8x + 18x = 10x 12 + 10x = -31x + -1(90 + 28x) + -45 12 + 10x = -31x + (90 * -1 + 28x * -1) + -45 12 + 10x = -31x + (-90 + -28x) + -45 Reorder the terms: 12 + 10x = -90 + -45 + -31x + -28x Combine like terms: -90 + -45 = -135 12 + 10x = -135 + -31x + -28x Combine like terms: -31x + -28x = -59x 12 + 10x = -135 + -59x Solving 12 + 10x = -135 + -59x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '59x' to each side of the equation. 12 + 10x + 59x = -135 + -59x + 59x Combine like terms: 10x + 59x = 69x 12 + 69x = -135 + -59x + 59x Combine like terms: -59x + 59x = 0 12 + 69x = -135 + 0 12 + 69x = -135 Add '-12' to each side of the equation. 12 + -12 + 69x = -135 + -12 Combine like terms: 12 + -12 = 0 0 + 69x = -135 + -12 69x = -135 + -12 Combine like terms: -135 + -12 = -147 69x = -147 Divide each side by '69'. x = -2.130434783 Simplifying x = -2.130434783
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