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Simplifying 2(5 + -2x) = 3(x + 3) (5 * 2 + -2x * 2) = 3(x + 3) (10 + -4x) = 3(x + 3) Reorder the terms: 10 + -4x = 3(3 + x) 10 + -4x = (3 * 3 + x * 3) 10 + -4x = (9 + 3x) Solving 10 + -4x = 9 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 10 + -4x + -3x = 9 + 3x + -3x Combine like terms: -4x + -3x = -7x 10 + -7x = 9 + 3x + -3x Combine like terms: 3x + -3x = 0 10 + -7x = 9 + 0 10 + -7x = 9 Add '-10' to each side of the equation. 10 + -10 + -7x = 9 + -10 Combine like terms: 10 + -10 = 0 0 + -7x = 9 + -10 -7x = 9 + -10 Combine like terms: 9 + -10 = -1 -7x = -1 Divide each side by '-7'. x = 0.1428571429 Simplifying x = 0.1428571429
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