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Simplifying 10 + -4x = 3x + 12 Reorder the terms: 10 + -4x = 12 + 3x Solving 10 + -4x = 12 + 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 + -4x + -3x = 12 + 3x + -3x Combine like terms: -4x + -3x = -7x 10 + -7x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 10 + -7x = 12 + 0 10 + -7x = 12 Add '-10' to each side of the equation. 10 + -10 + -7x = 12 + -10 Combine like terms: 10 + -10 = 0 0 + -7x = 12 + -10 -7x = 12 + -10 Combine like terms: 12 + -10 = 2 -7x = 2 Divide each side by '-7'. x = -0.2857142857 Simplifying x = -0.2857142857
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