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Simplifying 3(4x + -2) + 12 = 10x + -4 Reorder the terms: 3(-2 + 4x) + 12 = 10x + -4 (-2 * 3 + 4x * 3) + 12 = 10x + -4 (-6 + 12x) + 12 = 10x + -4 Reorder the terms: -6 + 12 + 12x = 10x + -4 Combine like terms: -6 + 12 = 6 6 + 12x = 10x + -4 Reorder the terms: 6 + 12x = -4 + 10x Solving 6 + 12x = -4 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 6 + 12x + -10x = -4 + 10x + -10x Combine like terms: 12x + -10x = 2x 6 + 2x = -4 + 10x + -10x Combine like terms: 10x + -10x = 0 6 + 2x = -4 + 0 6 + 2x = -4 Add '-6' to each side of the equation. 6 + -6 + 2x = -4 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = -4 + -6 2x = -4 + -6 Combine like terms: -4 + -6 = -10 2x = -10 Divide each side by '2'. x = -5 Simplifying x = -5
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