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Simplifying 3(4x + -6) + -2(x + -2) = 4(2x + 4) Reorder the terms: 3(-6 + 4x) + -2(x + -2) = 4(2x + 4) (-6 * 3 + 4x * 3) + -2(x + -2) = 4(2x + 4) (-18 + 12x) + -2(x + -2) = 4(2x + 4) Reorder the terms: -18 + 12x + -2(-2 + x) = 4(2x + 4) -18 + 12x + (-2 * -2 + x * -2) = 4(2x + 4) -18 + 12x + (4 + -2x) = 4(2x + 4) Reorder the terms: -18 + 4 + 12x + -2x = 4(2x + 4) Combine like terms: -18 + 4 = -14 -14 + 12x + -2x = 4(2x + 4) Combine like terms: 12x + -2x = 10x -14 + 10x = 4(2x + 4) Reorder the terms: -14 + 10x = 4(4 + 2x) -14 + 10x = (4 * 4 + 2x * 4) -14 + 10x = (16 + 8x) Solving -14 + 10x = 16 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -14 + 10x + -8x = 16 + 8x + -8x Combine like terms: 10x + -8x = 2x -14 + 2x = 16 + 8x + -8x Combine like terms: 8x + -8x = 0 -14 + 2x = 16 + 0 -14 + 2x = 16 Add '14' to each side of the equation. -14 + 14 + 2x = 16 + 14 Combine like terms: -14 + 14 = 0 0 + 2x = 16 + 14 2x = 16 + 14 Combine like terms: 16 + 14 = 30 2x = 30 Divide each side by '2'. x = 15 Simplifying x = 15
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