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Simplifying 2(2x + 1) + 4(2x + -1) = 5(x + -2) Reorder the terms: 2(1 + 2x) + 4(2x + -1) = 5(x + -2) (1 * 2 + 2x * 2) + 4(2x + -1) = 5(x + -2) (2 + 4x) + 4(2x + -1) = 5(x + -2) Reorder the terms: 2 + 4x + 4(-1 + 2x) = 5(x + -2) 2 + 4x + (-1 * 4 + 2x * 4) = 5(x + -2) 2 + 4x + (-4 + 8x) = 5(x + -2) Reorder the terms: 2 + -4 + 4x + 8x = 5(x + -2) Combine like terms: 2 + -4 = -2 -2 + 4x + 8x = 5(x + -2) Combine like terms: 4x + 8x = 12x -2 + 12x = 5(x + -2) Reorder the terms: -2 + 12x = 5(-2 + x) -2 + 12x = (-2 * 5 + x * 5) -2 + 12x = (-10 + 5x) Solving -2 + 12x = -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. -2 + 12x + -5x = -10 + 5x + -5x Combine like terms: 12x + -5x = 7x -2 + 7x = -10 + 5x + -5x Combine like terms: 5x + -5x = 0 -2 + 7x = -10 + 0 -2 + 7x = -10 Add '2' to each side of the equation. -2 + 2 + 7x = -10 + 2 Combine like terms: -2 + 2 = 0 0 + 7x = -10 + 2 7x = -10 + 2 Combine like terms: -10 + 2 = -8 7x = -8 Divide each side by '7'. x = -1.142857143 Simplifying x = -1.142857143
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