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