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Simplifying 2(5 + -3x) = -3(x + -2) (5 * 2 + -3x * 2) = -3(x + -2) (10 + -6x) = -3(x + -2) Reorder the terms: 10 + -6x = -3(-2 + x) 10 + -6x = (-2 * -3 + x * -3) 10 + -6x = (6 + -3x) Solving 10 + -6x = 6 + -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 + -6x + 3x = 6 + -3x + 3x Combine like terms: -6x + 3x = -3x 10 + -3x = 6 + -3x + 3x Combine like terms: -3x + 3x = 0 10 + -3x = 6 + 0 10 + -3x = 6 Add '-10' to each side of the equation. 10 + -10 + -3x = 6 + -10 Combine like terms: 10 + -10 = 0 0 + -3x = 6 + -10 -3x = 6 + -10 Combine like terms: 6 + -10 = -4 -3x = -4 Divide each side by '-3'. x = 1.333333333 Simplifying x = 1.333333333
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