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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 = 14x -14 + 14x = 4(2x + 4) Reorder the terms: -14 + 14x = 4(4 + 2x) -14 + 14x = (4 * 4 + 2x * 4) -14 + 14x = (16 + 8x) Solving -14 + 14x = 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 + 14x + -8x = 16 + 8x + -8x Combine like terms: 14x + -8x = 6x -14 + 6x = 16 + 8x + -8x Combine like terms: 8x + -8x = 0 -14 + 6x = 16 + 0 -14 + 6x = 16 Add '14' to each side of the equation. -14 + 14 + 6x = 16 + 14 Combine like terms: -14 + 14 = 0 0 + 6x = 16 + 14 6x = 16 + 14 Combine like terms: 16 + 14 = 30 6x = 30 Divide each side by '6'. x = 5 Simplifying x = 5
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