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Simplifying 3(2x + 1) + -2(3 + -2x) = 5(x + -2) Reorder the terms: 3(1 + 2x) + -2(3 + -2x) = 5(x + -2) (1 * 3 + 2x * 3) + -2(3 + -2x) = 5(x + -2) (3 + 6x) + -2(3 + -2x) = 5(x + -2) 3 + 6x + (3 * -2 + -2x * -2) = 5(x + -2) 3 + 6x + (-6 + 4x) = 5(x + -2) Reorder the terms: 3 + -6 + 6x + 4x = 5(x + -2) Combine like terms: 3 + -6 = -3 -3 + 6x + 4x = 5(x + -2) Combine like terms: 6x + 4x = 10x -3 + 10x = 5(x + -2) Reorder the terms: -3 + 10x = 5(-2 + x) -3 + 10x = (-2 * 5 + x * 5) -3 + 10x = (-10 + 5x) Solving -3 + 10x = -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. -3 + 10x + -5x = -10 + 5x + -5x Combine like terms: 10x + -5x = 5x -3 + 5x = -10 + 5x + -5x Combine like terms: 5x + -5x = 0 -3 + 5x = -10 + 0 -3 + 5x = -10 Add '3' to each side of the equation. -3 + 3 + 5x = -10 + 3 Combine like terms: -3 + 3 = 0 0 + 5x = -10 + 3 5x = -10 + 3 Combine like terms: -10 + 3 = -7 5x = -7 Divide each side by '5'. x = -1.4 Simplifying x = -1.4
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