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Simplifying 12x + 10 = -3x + 29 Reorder the terms: 10 + 12x = -3x + 29 Reorder the terms: 10 + 12x = 29 + -3x Solving 10 + 12x = 29 + -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. 10 + 12x + 3x = 29 + -3x + 3x Combine like terms: 12x + 3x = 15x 10 + 15x = 29 + -3x + 3x Combine like terms: -3x + 3x = 0 10 + 15x = 29 + 0 10 + 15x = 29 Add '-10' to each side of the equation. 10 + -10 + 15x = 29 + -10 Combine like terms: 10 + -10 = 0 0 + 15x = 29 + -10 15x = 29 + -10 Combine like terms: 29 + -10 = 19 15x = 19 Divide each side by '15'. x = 1.266666667 Simplifying x = 1.266666667
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