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Simplifying -10x + 3(2x + -3) = -17 + -3x Reorder the terms: -10x + 3(-3 + 2x) = -17 + -3x -10x + (-3 * 3 + 2x * 3) = -17 + -3x -10x + (-9 + 6x) = -17 + -3x Reorder the terms: -9 + -10x + 6x = -17 + -3x Combine like terms: -10x + 6x = -4x -9 + -4x = -17 + -3x Solving -9 + -4x = -17 + -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 + -4x + 3x = -17 + -3x + 3x Combine like terms: -4x + 3x = -1x -9 + -1x = -17 + -3x + 3x Combine like terms: -3x + 3x = 0 -9 + -1x = -17 + 0 -9 + -1x = -17 Add '9' to each side of the equation. -9 + 9 + -1x = -17 + 9 Combine like terms: -9 + 9 = 0 0 + -1x = -17 + 9 -1x = -17 + 9 Combine like terms: -17 + 9 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8
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