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Simplifying 2(5 + -3x) = 8 + -3(x + 2) (5 * 2 + -3x * 2) = 8 + -3(x + 2) (10 + -6x) = 8 + -3(x + 2) Reorder the terms: 10 + -6x = 8 + -3(2 + x) 10 + -6x = 8 + (2 * -3 + x * -3) 10 + -6x = 8 + (-6 + -3x) Combine like terms: 8 + -6 = 2 10 + -6x = 2 + -3x Solving 10 + -6x = 2 + -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 = 2 + -3x + 3x Combine like terms: -6x + 3x = -3x 10 + -3x = 2 + -3x + 3x Combine like terms: -3x + 3x = 0 10 + -3x = 2 + 0 10 + -3x = 2 Add '-10' to each side of the equation. 10 + -10 + -3x = 2 + -10 Combine like terms: 10 + -10 = 0 0 + -3x = 2 + -10 -3x = 2 + -10 Combine like terms: 2 + -10 = -8 -3x = -8 Divide each side by '-3'. x = 2.666666667 Simplifying x = 2.666666667
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