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