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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 = -2 1x = -2 Divide each side by '1'. x = -2 Simplifying x = -2
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