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Simplifying 2x + -5(4x + -2) = 3x + -5(2x + 4) Reorder the terms: 2x + -5(-2 + 4x) = 3x + -5(2x + 4) 2x + (-2 * -5 + 4x * -5) = 3x + -5(2x + 4) 2x + (10 + -20x) = 3x + -5(2x + 4) Reorder the terms: 10 + 2x + -20x = 3x + -5(2x + 4) Combine like terms: 2x + -20x = -18x 10 + -18x = 3x + -5(2x + 4) Reorder the terms: 10 + -18x = 3x + -5(4 + 2x) 10 + -18x = 3x + (4 * -5 + 2x * -5) 10 + -18x = 3x + (-20 + -10x) Reorder the terms: 10 + -18x = -20 + 3x + -10x Combine like terms: 3x + -10x = -7x 10 + -18x = -20 + -7x Solving 10 + -18x = -20 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 10 + -18x + 7x = -20 + -7x + 7x Combine like terms: -18x + 7x = -11x 10 + -11x = -20 + -7x + 7x Combine like terms: -7x + 7x = 0 10 + -11x = -20 + 0 10 + -11x = -20 Add '-10' to each side of the equation. 10 + -10 + -11x = -20 + -10 Combine like terms: 10 + -10 = 0 0 + -11x = -20 + -10 -11x = -20 + -10 Combine like terms: -20 + -10 = -30 -11x = -30 Divide each side by '-11'. x = 2.727272727 Simplifying x = 2.727272727
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