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Simplifying 3(2x + 4) = 2(2x + -9) + 10 Reorder the terms: 3(4 + 2x) = 2(2x + -9) + 10 (4 * 3 + 2x * 3) = 2(2x + -9) + 10 (12 + 6x) = 2(2x + -9) + 10 Reorder the terms: 12 + 6x = 2(-9 + 2x) + 10 12 + 6x = (-9 * 2 + 2x * 2) + 10 12 + 6x = (-18 + 4x) + 10 Reorder the terms: 12 + 6x = -18 + 10 + 4x Combine like terms: -18 + 10 = -8 12 + 6x = -8 + 4x Solving 12 + 6x = -8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 12 + 6x + -4x = -8 + 4x + -4x Combine like terms: 6x + -4x = 2x 12 + 2x = -8 + 4x + -4x Combine like terms: 4x + -4x = 0 12 + 2x = -8 + 0 12 + 2x = -8 Add '-12' to each side of the equation. 12 + -12 + 2x = -8 + -12 Combine like terms: 12 + -12 = 0 0 + 2x = -8 + -12 2x = -8 + -12 Combine like terms: -8 + -12 = -20 2x = -20 Divide each side by '2'. x = -10 Simplifying x = -10
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