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