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Simplifying 5(x + -1) + 3(2x + -4) = 5 Reorder the terms: 5(-1 + x) + 3(2x + -4) = 5 (-1 * 5 + x * 5) + 3(2x + -4) = 5 (-5 + 5x) + 3(2x + -4) = 5 Reorder the terms: -5 + 5x + 3(-4 + 2x) = 5 -5 + 5x + (-4 * 3 + 2x * 3) = 5 -5 + 5x + (-12 + 6x) = 5 Reorder the terms: -5 + -12 + 5x + 6x = 5 Combine like terms: -5 + -12 = -17 -17 + 5x + 6x = 5 Combine like terms: 5x + 6x = 11x -17 + 11x = 5 Solving -17 + 11x = 5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 11x = 5 + 17 Combine like terms: -17 + 17 = 0 0 + 11x = 5 + 17 11x = 5 + 17 Combine like terms: 5 + 17 = 22 11x = 22 Divide each side by '11'. x = 2 Simplifying x = 2
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