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Simplifying -3(5 + -5x) = 7(-8x + -2) + -427 (5 * -3 + -5x * -3) = 7(-8x + -2) + -427 (-15 + 15x) = 7(-8x + -2) + -427 Reorder the terms: -15 + 15x = 7(-2 + -8x) + -427 -15 + 15x = (-2 * 7 + -8x * 7) + -427 -15 + 15x = (-14 + -56x) + -427 Reorder the terms: -15 + 15x = -14 + -427 + -56x Combine like terms: -14 + -427 = -441 -15 + 15x = -441 + -56x Solving -15 + 15x = -441 + -56x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '56x' to each side of the equation. -15 + 15x + 56x = -441 + -56x + 56x Combine like terms: 15x + 56x = 71x -15 + 71x = -441 + -56x + 56x Combine like terms: -56x + 56x = 0 -15 + 71x = -441 + 0 -15 + 71x = -441 Add '15' to each side of the equation. -15 + 15 + 71x = -441 + 15 Combine like terms: -15 + 15 = 0 0 + 71x = -441 + 15 71x = -441 + 15 Combine like terms: -441 + 15 = -426 71x = -426 Divide each side by '71'. x = -6 Simplifying x = -6
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