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Simplifying 2(1 + -2x) = 3(5x + 2) (1 * 2 + -2x * 2) = 3(5x + 2) (2 + -4x) = 3(5x + 2) Reorder the terms: 2 + -4x = 3(2 + 5x) 2 + -4x = (2 * 3 + 5x * 3) 2 + -4x = (6 + 15x) Solving 2 + -4x = 6 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 2 + -4x + -15x = 6 + 15x + -15x Combine like terms: -4x + -15x = -19x 2 + -19x = 6 + 15x + -15x Combine like terms: 15x + -15x = 0 2 + -19x = 6 + 0 2 + -19x = 6 Add '-2' to each side of the equation. 2 + -2 + -19x = 6 + -2 Combine like terms: 2 + -2 = 0 0 + -19x = 6 + -2 -19x = 6 + -2 Combine like terms: 6 + -2 = 4 -19x = 4 Divide each side by '-19'. x = -0.2105263158 Simplifying x = -0.2105263158
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