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Simplifying -2(3 + 2x) + -3((2x + -1) + -5) = 10 (3 * -2 + 2x * -2) + -3((2x + -1) + -5) = 10 (-6 + -4x) + -3((2x + -1) + -5) = 10 Reorder the terms: -6 + -4x + -3((-1 + 2x) + -5) = 10 Remove parenthesis around (-1 + 2x) -6 + -4x + -3(-1 + 2x + -5) = 10 Reorder the terms: -6 + -4x + -3(-1 + -5 + 2x) = 10 Combine like terms: -1 + -5 = -6 -6 + -4x + -3(-6 + 2x) = 10 -6 + -4x + (-6 * -3 + 2x * -3) = 10 -6 + -4x + (18 + -6x) = 10 Reorder the terms: -6 + 18 + -4x + -6x = 10 Combine like terms: -6 + 18 = 12 12 + -4x + -6x = 10 Combine like terms: -4x + -6x = -10x 12 + -10x = 10 Solving 12 + -10x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -10x = 10 + -12 Combine like terms: 12 + -12 = 0 0 + -10x = 10 + -12 -10x = 10 + -12 Combine like terms: 10 + -12 = -2 -10x = -2 Divide each side by '-10'. x = 0.2 Simplifying x = 0.2
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