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Simplifying 2(3x + -4) + 12 = 3x + -10 Reorder the terms: 2(-4 + 3x) + 12 = 3x + -10 (-4 * 2 + 3x * 2) + 12 = 3x + -10 (-8 + 6x) + 12 = 3x + -10 Reorder the terms: -8 + 12 + 6x = 3x + -10 Combine like terms: -8 + 12 = 4 4 + 6x = 3x + -10 Reorder the terms: 4 + 6x = -10 + 3x Solving 4 + 6x = -10 + 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. 4 + 6x + -3x = -10 + 3x + -3x Combine like terms: 6x + -3x = 3x 4 + 3x = -10 + 3x + -3x Combine like terms: 3x + -3x = 0 4 + 3x = -10 + 0 4 + 3x = -10 Add '-4' to each side of the equation. 4 + -4 + 3x = -10 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = -10 + -4 3x = -10 + -4 Combine like terms: -10 + -4 = -14 3x = -14 Divide each side by '3'. x = -4.666666667 Simplifying x = -4.666666667
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