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Simplifying 2(5x + -20) + -1(15 + 8x) = 7 Reorder the terms: 2(-20 + 5x) + -1(15 + 8x) = 7 (-20 * 2 + 5x * 2) + -1(15 + 8x) = 7 (-40 + 10x) + -1(15 + 8x) = 7 -40 + 10x + (15 * -1 + 8x * -1) = 7 -40 + 10x + (-15 + -8x) = 7 Reorder the terms: -40 + -15 + 10x + -8x = 7 Combine like terms: -40 + -15 = -55 -55 + 10x + -8x = 7 Combine like terms: 10x + -8x = 2x -55 + 2x = 7 Solving -55 + 2x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '55' to each side of the equation. -55 + 55 + 2x = 7 + 55 Combine like terms: -55 + 55 = 0 0 + 2x = 7 + 55 2x = 7 + 55 Combine like terms: 7 + 55 = 62 2x = 62 Divide each side by '2'. x = 31 Simplifying x = 31
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