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Simplifying -10x + -3(3 + -6x) = 3(x + -4) + -17 -10x + (3 * -3 + -6x * -3) = 3(x + -4) + -17 -10x + (-9 + 18x) = 3(x + -4) + -17 Reorder the terms: -9 + -10x + 18x = 3(x + -4) + -17 Combine like terms: -10x + 18x = 8x -9 + 8x = 3(x + -4) + -17 Reorder the terms: -9 + 8x = 3(-4 + x) + -17 -9 + 8x = (-4 * 3 + x * 3) + -17 -9 + 8x = (-12 + 3x) + -17 Reorder the terms: -9 + 8x = -12 + -17 + 3x Combine like terms: -12 + -17 = -29 -9 + 8x = -29 + 3x Solving -9 + 8x = -29 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -9 + 8x + -3x = -29 + 3x + -3x Combine like terms: 8x + -3x = 5x -9 + 5x = -29 + 3x + -3x Combine like terms: 3x + -3x = 0 -9 + 5x = -29 + 0 -9 + 5x = -29 Add '9' to each side of the equation. -9 + 9 + 5x = -29 + 9 Combine like terms: -9 + 9 = 0 0 + 5x = -29 + 9 5x = -29 + 9 Combine like terms: -29 + 9 = -20 5x = -20 Divide each side by '5'. x = -4 Simplifying x = -4
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