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Simplifying 2(2x + 1) = -1(4x + -6) Reorder the terms: 2(1 + 2x) = -1(4x + -6) (1 * 2 + 2x * 2) = -1(4x + -6) (2 + 4x) = -1(4x + -6) Reorder the terms: 2 + 4x = -1(-6 + 4x) 2 + 4x = (-6 * -1 + 4x * -1) 2 + 4x = (6 + -4x) Solving 2 + 4x = 6 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 2 + 4x + 4x = 6 + -4x + 4x Combine like terms: 4x + 4x = 8x 2 + 8x = 6 + -4x + 4x Combine like terms: -4x + 4x = 0 2 + 8x = 6 + 0 2 + 8x = 6 Add '-2' to each side of the equation. 2 + -2 + 8x = 6 + -2 Combine like terms: 2 + -2 = 0 0 + 8x = 6 + -2 8x = 6 + -2 Combine like terms: 6 + -2 = 4 8x = 4 Divide each side by '8'. x = 0.5 Simplifying x = 0.5
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