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Simplifying -12x + 2(x + -5) + 9 = 3x + -10 Reorder the terms: -12x + 2(-5 + x) + 9 = 3x + -10 -12x + (-5 * 2 + x * 2) + 9 = 3x + -10 -12x + (-10 + 2x) + 9 = 3x + -10 Reorder the terms: -10 + 9 + -12x + 2x = 3x + -10 Combine like terms: -10 + 9 = -1 -1 + -12x + 2x = 3x + -10 Combine like terms: -12x + 2x = -10x -1 + -10x = 3x + -10 Reorder the terms: -1 + -10x = -10 + 3x Solving -1 + -10x = -10 + 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. -1 + -10x + -3x = -10 + 3x + -3x Combine like terms: -10x + -3x = -13x -1 + -13x = -10 + 3x + -3x Combine like terms: 3x + -3x = 0 -1 + -13x = -10 + 0 -1 + -13x = -10 Add '1' to each side of the equation. -1 + 1 + -13x = -10 + 1 Combine like terms: -1 + 1 = 0 0 + -13x = -10 + 1 -13x = -10 + 1 Combine like terms: -10 + 1 = -9 -13x = -9 Divide each side by '-13'. x = 0.6923076923 Simplifying x = 0.6923076923
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