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Simplifying -4(8x + -7) + 18x = 31x + -2(90 + 28) + -45 Reorder the terms: -4(-7 + 8x) + 18x = 31x + -2(90 + 28) + -45 (-7 * -4 + 8x * -4) + 18x = 31x + -2(90 + 28) + -45 (28 + -32x) + 18x = 31x + -2(90 + 28) + -45 Combine like terms: -32x + 18x = -14x 28 + -14x = 31x + -2(90 + 28) + -45 Combine like terms: 90 + 28 = 118 28 + -14x = 31x + -2(118) + -45 Multiply -2 * 118 28 + -14x = 31x + -236 + -45 Reorder the terms: 28 + -14x = -236 + -45 + 31x Combine like terms: -236 + -45 = -281 28 + -14x = -281 + 31x Solving 28 + -14x = -281 + 31x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-31x' to each side of the equation. 28 + -14x + -31x = -281 + 31x + -31x Combine like terms: -14x + -31x = -45x 28 + -45x = -281 + 31x + -31x Combine like terms: 31x + -31x = 0 28 + -45x = -281 + 0 28 + -45x = -281 Add '-28' to each side of the equation. 28 + -28 + -45x = -281 + -28 Combine like terms: 28 + -28 = 0 0 + -45x = -281 + -28 -45x = -281 + -28 Combine like terms: -281 + -28 = -309 -45x = -309 Divide each side by '-45'. x = 6.866666667 Simplifying x = 6.866666667
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