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Simplifying 3(2x + -4) = 32 + -5(x + -2) Reorder the terms: 3(-4 + 2x) = 32 + -5(x + -2) (-4 * 3 + 2x * 3) = 32 + -5(x + -2) (-12 + 6x) = 32 + -5(x + -2) Reorder the terms: -12 + 6x = 32 + -5(-2 + x) -12 + 6x = 32 + (-2 * -5 + x * -5) -12 + 6x = 32 + (10 + -5x) Combine like terms: 32 + 10 = 42 -12 + 6x = 42 + -5x Solving -12 + 6x = 42 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -12 + 6x + 5x = 42 + -5x + 5x Combine like terms: 6x + 5x = 11x -12 + 11x = 42 + -5x + 5x Combine like terms: -5x + 5x = 0 -12 + 11x = 42 + 0 -12 + 11x = 42 Add '12' to each side of the equation. -12 + 12 + 11x = 42 + 12 Combine like terms: -12 + 12 = 0 0 + 11x = 42 + 12 11x = 42 + 12 Combine like terms: 42 + 12 = 54 11x = 54 Divide each side by '11'. x = 4.909090909 Simplifying x = 4.909090909
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