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Simplifying 12(3x + 4) + -6(2x + -2) = 14x + -10 Reorder the terms: 12(4 + 3x) + -6(2x + -2) = 14x + -10 (4 * 12 + 3x * 12) + -6(2x + -2) = 14x + -10 (48 + 36x) + -6(2x + -2) = 14x + -10 Reorder the terms: 48 + 36x + -6(-2 + 2x) = 14x + -10 48 + 36x + (-2 * -6 + 2x * -6) = 14x + -10 48 + 36x + (12 + -12x) = 14x + -10 Reorder the terms: 48 + 12 + 36x + -12x = 14x + -10 Combine like terms: 48 + 12 = 60 60 + 36x + -12x = 14x + -10 Combine like terms: 36x + -12x = 24x 60 + 24x = 14x + -10 Reorder the terms: 60 + 24x = -10 + 14x Solving 60 + 24x = -10 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 60 + 24x + -14x = -10 + 14x + -14x Combine like terms: 24x + -14x = 10x 60 + 10x = -10 + 14x + -14x Combine like terms: 14x + -14x = 0 60 + 10x = -10 + 0 60 + 10x = -10 Add '-60' to each side of the equation. 60 + -60 + 10x = -10 + -60 Combine like terms: 60 + -60 = 0 0 + 10x = -10 + -60 10x = -10 + -60 Combine like terms: -10 + -60 = -70 10x = -70 Divide each side by '10'. x = -7 Simplifying x = -7
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