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Simplifying -10 + -4x + -2 + 3x = 1 + 2x + 9 Reorder the terms: -10 + -2 + -4x + 3x = 1 + 2x + 9 Combine like terms: -10 + -2 = -12 -12 + -4x + 3x = 1 + 2x + 9 Combine like terms: -4x + 3x = -1x -12 + -1x = 1 + 2x + 9 Reorder the terms: -12 + -1x = 1 + 9 + 2x Combine like terms: 1 + 9 = 10 -12 + -1x = 10 + 2x Solving -12 + -1x = 10 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -12 + -1x + -2x = 10 + 2x + -2x Combine like terms: -1x + -2x = -3x -12 + -3x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 -12 + -3x = 10 + 0 -12 + -3x = 10 Add '12' to each side of the equation. -12 + 12 + -3x = 10 + 12 Combine like terms: -12 + 12 = 0 0 + -3x = 10 + 12 -3x = 10 + 12 Combine like terms: 10 + 12 = 22 -3x = 22 Divide each side by '-3'. x = -7.333333333 Simplifying x = -7.333333333
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