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Simplifying -10x + -1(9 + -1x) = 4(2x + 5) + -12 -10x + (9 * -1 + -1x * -1) = 4(2x + 5) + -12 -10x + (-9 + 1x) = 4(2x + 5) + -12 Reorder the terms: -9 + -10x + 1x = 4(2x + 5) + -12 Combine like terms: -10x + 1x = -9x -9 + -9x = 4(2x + 5) + -12 Reorder the terms: -9 + -9x = 4(5 + 2x) + -12 -9 + -9x = (5 * 4 + 2x * 4) + -12 -9 + -9x = (20 + 8x) + -12 Reorder the terms: -9 + -9x = 20 + -12 + 8x Combine like terms: 20 + -12 = 8 -9 + -9x = 8 + 8x Solving -9 + -9x = 8 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -9 + -9x + -8x = 8 + 8x + -8x Combine like terms: -9x + -8x = -17x -9 + -17x = 8 + 8x + -8x Combine like terms: 8x + -8x = 0 -9 + -17x = 8 + 0 -9 + -17x = 8 Add '9' to each side of the equation. -9 + 9 + -17x = 8 + 9 Combine like terms: -9 + 9 = 0 0 + -17x = 8 + 9 -17x = 8 + 9 Combine like terms: 8 + 9 = 17 -17x = 17 Divide each side by '-17'. x = -1 Simplifying x = -1
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