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Simplifying 3(x + -2) = 4(2x + 6) Reorder the terms: 3(-2 + x) = 4(2x + 6) (-2 * 3 + x * 3) = 4(2x + 6) (-6 + 3x) = 4(2x + 6) Reorder the terms: -6 + 3x = 4(6 + 2x) -6 + 3x = (6 * 4 + 2x * 4) -6 + 3x = (24 + 8x) Solving -6 + 3x = 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. -6 + 3x + -8x = 24 + 8x + -8x Combine like terms: 3x + -8x = -5x -6 + -5x = 24 + 8x + -8x Combine like terms: 8x + -8x = 0 -6 + -5x = 24 + 0 -6 + -5x = 24 Add '6' to each side of the equation. -6 + 6 + -5x = 24 + 6 Combine like terms: -6 + 6 = 0 0 + -5x = 24 + 6 -5x = 24 + 6 Combine like terms: 24 + 6 = 30 -5x = 30 Divide each side by '-5'. x = -6 Simplifying x = -6
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