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Simplifying 4(x + 2) = 3(2x + -1(6 + -1x)) Reorder the terms: 4(2 + x) = 3(2x + -1(6 + -1x)) (2 * 4 + x * 4) = 3(2x + -1(6 + -1x)) (8 + 4x) = 3(2x + -1(6 + -1x)) 8 + 4x = 3(2x + (6 * -1 + -1x * -1)) 8 + 4x = 3(2x + (-6 + 1x)) Reorder the terms: 8 + 4x = 3(-6 + 2x + 1x) Combine like terms: 2x + 1x = 3x 8 + 4x = 3(-6 + 3x) 8 + 4x = (-6 * 3 + 3x * 3) 8 + 4x = (-18 + 9x) Solving 8 + 4x = -18 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 8 + 4x + -9x = -18 + 9x + -9x Combine like terms: 4x + -9x = -5x 8 + -5x = -18 + 9x + -9x Combine like terms: 9x + -9x = 0 8 + -5x = -18 + 0 8 + -5x = -18 Add '-8' to each side of the equation. 8 + -8 + -5x = -18 + -8 Combine like terms: 8 + -8 = 0 0 + -5x = -18 + -8 -5x = -18 + -8 Combine like terms: -18 + -8 = -26 -5x = -26 Divide each side by '-5'. x = 5.2 Simplifying x = 5.2
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