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Simplifying -12x + 2(x + -5) + 9x = 3x + -10 Reorder the terms: -12x + 2(-5 + x) + 9x = 3x + -10 -12x + (-5 * 2 + x * 2) + 9x = 3x + -10 -12x + (-10 + 2x) + 9x = 3x + -10 Reorder the terms: -10 + -12x + 2x + 9x = 3x + -10 Combine like terms: -12x + 2x = -10x -10 + -10x + 9x = 3x + -10 Combine like terms: -10x + 9x = -1x -10 + -1x = 3x + -10 Reorder the terms: -10 + -1x = -10 + 3x Add '10' to each side of the equation. -10 + 10 + -1x = -10 + 10 + 3x Combine like terms: -10 + 10 = 0 0 + -1x = -10 + 10 + 3x -1x = -10 + 10 + 3x Combine like terms: -10 + 10 = 0 -1x = 0 + 3x -1x = 3x Solving -1x = 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. -1x + -3x = 3x + -3x Combine like terms: -1x + -3x = -4x -4x = 3x + -3x Combine like terms: 3x + -3x = 0 -4x = 0 Divide each side by '-4'. x = 0 Simplifying x = 0
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