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Simplifying 2(3x + -2) = 4(2x + 6) Reorder the terms: 2(-2 + 3x) = 4(2x + 6) (-2 * 2 + 3x * 2) = 4(2x + 6) (-4 + 6x) = 4(2x + 6) Reorder the terms: -4 + 6x = 4(6 + 2x) -4 + 6x = (6 * 4 + 2x * 4) -4 + 6x = (24 + 8x) Solving -4 + 6x = 24 + 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. -4 + 6x + -8x = 24 + 8x + -8x Combine like terms: 6x + -8x = -2x -4 + -2x = 24 + 8x + -8x Combine like terms: 8x + -8x = 0 -4 + -2x = 24 + 0 -4 + -2x = 24 Add '4' to each side of the equation. -4 + 4 + -2x = 24 + 4 Combine like terms: -4 + 4 = 0 0 + -2x = 24 + 4 -2x = 24 + 4 Combine like terms: 24 + 4 = 28 -2x = 28 Divide each side by '-2'. x = -14 Simplifying x = -14
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