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Simplifying 3 + -2(2x + -4) = 5x + 3(2x + 1) Reorder the terms: 3 + -2(-4 + 2x) = 5x + 3(2x + 1) 3 + (-4 * -2 + 2x * -2) = 5x + 3(2x + 1) 3 + (8 + -4x) = 5x + 3(2x + 1) Combine like terms: 3 + 8 = 11 11 + -4x = 5x + 3(2x + 1) Reorder the terms: 11 + -4x = 5x + 3(1 + 2x) 11 + -4x = 5x + (1 * 3 + 2x * 3) 11 + -4x = 5x + (3 + 6x) Reorder the terms: 11 + -4x = 3 + 5x + 6x Combine like terms: 5x + 6x = 11x 11 + -4x = 3 + 11x Solving 11 + -4x = 3 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 11 + -4x + -11x = 3 + 11x + -11x Combine like terms: -4x + -11x = -15x 11 + -15x = 3 + 11x + -11x Combine like terms: 11x + -11x = 0 11 + -15x = 3 + 0 11 + -15x = 3 Add '-11' to each side of the equation. 11 + -11 + -15x = 3 + -11 Combine like terms: 11 + -11 = 0 0 + -15x = 3 + -11 -15x = 3 + -11 Combine like terms: 3 + -11 = -8 -15x = -8 Divide each side by '-15'. x = 0.5333333333 Simplifying x = 0.5333333333
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