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Simplifying -3x + 9 + -5(x + -1) = -1(2x + -6) + -5x + 5 Reorder the terms: -3x + 9 + -5(-1 + x) = -1(2x + -6) + -5x + 5 -3x + 9 + (-1 * -5 + x * -5) = -1(2x + -6) + -5x + 5 -3x + 9 + (5 + -5x) = -1(2x + -6) + -5x + 5 Reorder the terms: 9 + 5 + -3x + -5x = -1(2x + -6) + -5x + 5 Combine like terms: 9 + 5 = 14 14 + -3x + -5x = -1(2x + -6) + -5x + 5 Combine like terms: -3x + -5x = -8x 14 + -8x = -1(2x + -6) + -5x + 5 Reorder the terms: 14 + -8x = -1(-6 + 2x) + -5x + 5 14 + -8x = (-6 * -1 + 2x * -1) + -5x + 5 14 + -8x = (6 + -2x) + -5x + 5 Reorder the terms: 14 + -8x = 6 + 5 + -2x + -5x Combine like terms: 6 + 5 = 11 14 + -8x = 11 + -2x + -5x Combine like terms: -2x + -5x = -7x 14 + -8x = 11 + -7x Solving 14 + -8x = 11 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 14 + -8x + 7x = 11 + -7x + 7x Combine like terms: -8x + 7x = -1x 14 + -1x = 11 + -7x + 7x Combine like terms: -7x + 7x = 0 14 + -1x = 11 + 0 14 + -1x = 11 Add '-14' to each side of the equation. 14 + -14 + -1x = 11 + -14 Combine like terms: 14 + -14 = 0 0 + -1x = 11 + -14 -1x = 11 + -14 Combine like terms: 11 + -14 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3
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