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Simplifying 2(3 + -2x) = 5(3x + 2) (3 * 2 + -2x * 2) = 5(3x + 2) (6 + -4x) = 5(3x + 2) Reorder the terms: 6 + -4x = 5(2 + 3x) 6 + -4x = (2 * 5 + 3x * 5) 6 + -4x = (10 + 15x) Solving 6 + -4x = 10 + 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. 6 + -4x + -15x = 10 + 15x + -15x Combine like terms: -4x + -15x = -19x 6 + -19x = 10 + 15x + -15x Combine like terms: 15x + -15x = 0 6 + -19x = 10 + 0 6 + -19x = 10 Add '-6' to each side of the equation. 6 + -6 + -19x = 10 + -6 Combine like terms: 6 + -6 = 0 0 + -19x = 10 + -6 -19x = 10 + -6 Combine like terms: 10 + -6 = 4 -19x = 4 Divide each side by '-19'. x = -0.2105263158 Simplifying x = -0.2105263158
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