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Simplifying 2(3x + 4) = 5(x + -2) Reorder the terms: 2(4 + 3x) = 5(x + -2) (4 * 2 + 3x * 2) = 5(x + -2) (8 + 6x) = 5(x + -2) Reorder the terms: 8 + 6x = 5(-2 + x) 8 + 6x = (-2 * 5 + x * 5) 8 + 6x = (-10 + 5x) Solving 8 + 6x = -10 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 8 + 6x + -5x = -10 + 5x + -5x Combine like terms: 6x + -5x = 1x 8 + 1x = -10 + 5x + -5x Combine like terms: 5x + -5x = 0 8 + 1x = -10 + 0 8 + 1x = -10 Add '-8' to each side of the equation. 8 + -8 + 1x = -10 + -8 Combine like terms: 8 + -8 = 0 0 + 1x = -10 + -8 1x = -10 + -8 Combine like terms: -10 + -8 = -18 1x = -18 Divide each side by '1'. x = -18 Simplifying x = -18
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