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Simplifying 12 + -1x + 2 = 3x + -10 + 4x Reorder the terms: 12 + 2 + -1x = 3x + -10 + 4x Combine like terms: 12 + 2 = 14 14 + -1x = 3x + -10 + 4x Reorder the terms: 14 + -1x = -10 + 3x + 4x Combine like terms: 3x + 4x = 7x 14 + -1x = -10 + 7x Solving 14 + -1x = -10 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 14 + -1x + -7x = -10 + 7x + -7x Combine like terms: -1x + -7x = -8x 14 + -8x = -10 + 7x + -7x Combine like terms: 7x + -7x = 0 14 + -8x = -10 + 0 14 + -8x = -10 Add '-14' to each side of the equation. 14 + -14 + -8x = -10 + -14 Combine like terms: 14 + -14 = 0 0 + -8x = -10 + -14 -8x = -10 + -14 Combine like terms: -10 + -14 = -24 -8x = -24 Divide each side by '-8'. x = 3 Simplifying x = 3
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