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Simplifying 5(x + -3) + 4(2x + -4) = 60 Reorder the terms: 5(-3 + x) + 4(2x + -4) = 60 (-3 * 5 + x * 5) + 4(2x + -4) = 60 (-15 + 5x) + 4(2x + -4) = 60 Reorder the terms: -15 + 5x + 4(-4 + 2x) = 60 -15 + 5x + (-4 * 4 + 2x * 4) = 60 -15 + 5x + (-16 + 8x) = 60 Reorder the terms: -15 + -16 + 5x + 8x = 60 Combine like terms: -15 + -16 = -31 -31 + 5x + 8x = 60 Combine like terms: 5x + 8x = 13x -31 + 13x = 60 Solving -31 + 13x = 60 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + 13x = 60 + 31 Combine like terms: -31 + 31 = 0 0 + 13x = 60 + 31 13x = 60 + 31 Combine like terms: 60 + 31 = 91 13x = 91 Divide each side by '13'. x = 7 Simplifying x = 7
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