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Simplifying -4(8x + -7) + 18x = 31x + -2(90 + 28x) + -45 Reorder the terms: -4(-7 + 8x) + 18x = 31x + -2(90 + 28x) + -45 (-7 * -4 + 8x * -4) + 18x = 31x + -2(90 + 28x) + -45 (28 + -32x) + 18x = 31x + -2(90 + 28x) + -45 Combine like terms: -32x + 18x = -14x 28 + -14x = 31x + -2(90 + 28x) + -45 28 + -14x = 31x + (90 * -2 + 28x * -2) + -45 28 + -14x = 31x + (-180 + -56x) + -45 Reorder the terms: 28 + -14x = -180 + -45 + 31x + -56x Combine like terms: -180 + -45 = -225 28 + -14x = -225 + 31x + -56x Combine like terms: 31x + -56x = -25x 28 + -14x = -225 + -25x Solving 28 + -14x = -225 + -25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25x' to each side of the equation. 28 + -14x + 25x = -225 + -25x + 25x Combine like terms: -14x + 25x = 11x 28 + 11x = -225 + -25x + 25x Combine like terms: -25x + 25x = 0 28 + 11x = -225 + 0 28 + 11x = -225 Add '-28' to each side of the equation. 28 + -28 + 11x = -225 + -28 Combine like terms: 28 + -28 = 0 0 + 11x = -225 + -28 11x = -225 + -28 Combine like terms: -225 + -28 = -253 11x = -253 Divide each side by '11'. x = -23 Simplifying x = -23
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