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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 = -2 -2 + -8x + 18x = 31x + -1(90 + 28x) + -45 Combine like terms: -8x + 18x = 10x -2 + 10x = 31x + -1(90 + 28x) + -45 -2 + 10x = 31x + (90 * -1 + 28x * -1) + -45 -2 + 10x = 31x + (-90 + -28x) + -45 Reorder the terms: -2 + 10x = -90 + -45 + 31x + -28x Combine like terms: -90 + -45 = -135 -2 + 10x = -135 + 31x + -28x Combine like terms: 31x + -28x = 3x -2 + 10x = -135 + 3x Solving -2 + 10x = -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. -2 + 10x + -3x = -135 + 3x + -3x Combine like terms: 10x + -3x = 7x -2 + 7x = -135 + 3x + -3x Combine like terms: 3x + -3x = 0 -2 + 7x = -135 + 0 -2 + 7x = -135 Add '2' to each side of the equation. -2 + 2 + 7x = -135 + 2 Combine like terms: -2 + 2 = 0 0 + 7x = -135 + 2 7x = -135 + 2 Combine like terms: -135 + 2 = -133 7x = -133 Divide each side by '7'. x = -19 Simplifying x = -19
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