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Simplifying -2(5 + -3x) = 12 + -3(5 + -1x) (5 * -2 + -3x * -2) = 12 + -3(5 + -1x) (-10 + 6x) = 12 + -3(5 + -1x) -10 + 6x = 12 + (5 * -3 + -1x * -3) -10 + 6x = 12 + (-15 + 3x) Combine like terms: 12 + -15 = -3 -10 + 6x = -3 + 3x Solving -10 + 6x = -3 + 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 = -3 + 3x + -3x Combine like terms: 6x + -3x = 3x -10 + 3x = -3 + 3x + -3x Combine like terms: 3x + -3x = 0 -10 + 3x = -3 + 0 -10 + 3x = -3 Add '10' to each side of the equation. -10 + 10 + 3x = -3 + 10 Combine like terms: -10 + 10 = 0 0 + 3x = -3 + 10 3x = -3 + 10 Combine like terms: -3 + 10 = 7 3x = 7 Divide each side by '3'. x = 2.333333333 Simplifying x = 2.333333333
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