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Simplifying 4x + 2 + -1x = 12x + 10 + -3x Reorder the terms: 2 + 4x + -1x = 12x + 10 + -3x Combine like terms: 4x + -1x = 3x 2 + 3x = 12x + 10 + -3x Reorder the terms: 2 + 3x = 10 + 12x + -3x Combine like terms: 12x + -3x = 9x 2 + 3x = 10 + 9x Solving 2 + 3x = 10 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 2 + 3x + -9x = 10 + 9x + -9x Combine like terms: 3x + -9x = -6x 2 + -6x = 10 + 9x + -9x Combine like terms: 9x + -9x = 0 2 + -6x = 10 + 0 2 + -6x = 10 Add '-2' to each side of the equation. 2 + -2 + -6x = 10 + -2 Combine like terms: 2 + -2 = 0 0 + -6x = 10 + -2 -6x = 10 + -2 Combine like terms: 10 + -2 = 8 -6x = 8 Divide each side by '-6'. x = -1.333333333 Simplifying x = -1.333333333
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