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Simplifying 12x + 10 = 15x + -4 Reorder the terms: 10 + 12x = 15x + -4 Reorder the terms: 10 + 12x = -4 + 15x Solving 10 + 12x = -4 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 10 + 12x + -15x = -4 + 15x + -15x Combine like terms: 12x + -15x = -3x 10 + -3x = -4 + 15x + -15x Combine like terms: 15x + -15x = 0 10 + -3x = -4 + 0 10 + -3x = -4 Add '-10' to each side of the equation. 10 + -10 + -3x = -4 + -10 Combine like terms: 10 + -10 = 0 0 + -3x = -4 + -10 -3x = -4 + -10 Combine like terms: -4 + -10 = -14 -3x = -14 Divide each side by '-3'. x = 4.666666667 Simplifying x = 4.666666667
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