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Simplifying 3(x + -2) = 4(2x + 3) Reorder the terms: 3(-2 + x) = 4(2x + 3) (-2 * 3 + x * 3) = 4(2x + 3) (-6 + 3x) = 4(2x + 3) Reorder the terms: -6 + 3x = 4(3 + 2x) -6 + 3x = (3 * 4 + 2x * 4) -6 + 3x = (12 + 8x) Solving -6 + 3x = 12 + 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 = 12 + 8x + -8x Combine like terms: 3x + -8x = -5x -6 + -5x = 12 + 8x + -8x Combine like terms: 8x + -8x = 0 -6 + -5x = 12 + 0 -6 + -5x = 12 Add '6' to each side of the equation. -6 + 6 + -5x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + -5x = 12 + 6 -5x = 12 + 6 Combine like terms: 12 + 6 = 18 -5x = 18 Divide each side by '-5'. x = -3.6 Simplifying x = -3.6
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