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Simplifying 8(x + -7) + -3(2x + y) = 15 Reorder the terms: 8(-7 + x) + -3(2x + y) = 15 (-7 * 8 + x * 8) + -3(2x + y) = 15 (-56 + 8x) + -3(2x + y) = 15 -56 + 8x + (2x * -3 + y * -3) = 15 -56 + 8x + (-6x + -3y) = 15 Combine like terms: 8x + -6x = 2x -56 + 2x + -3y = 15 Solving -56 + 2x + -3y = 15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '56' to each side of the equation. -56 + 2x + 56 + -3y = 15 + 56 Reorder the terms: -56 + 56 + 2x + -3y = 15 + 56 Combine like terms: -56 + 56 = 0 0 + 2x + -3y = 15 + 56 2x + -3y = 15 + 56 Combine like terms: 15 + 56 = 71 2x + -3y = 71 Add '3y' to each side of the equation. 2x + -3y + 3y = 71 + 3y Combine like terms: -3y + 3y = 0 2x + 0 = 71 + 3y 2x = 71 + 3y Divide each side by '2'. x = 35.5 + 1.5y Simplifying x = 35.5 + 1.5y
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