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Simplifying 5(2y + -7) + 8(x + -6) = 31 Reorder the terms: 5(-7 + 2y) + 8(x + -6) = 31 (-7 * 5 + 2y * 5) + 8(x + -6) = 31 (-35 + 10y) + 8(x + -6) = 31 Reorder the terms: -35 + 10y + 8(-6 + x) = 31 -35 + 10y + (-6 * 8 + x * 8) = 31 -35 + 10y + (-48 + 8x) = 31 Reorder the terms: -35 + -48 + 8x + 10y = 31 Combine like terms: -35 + -48 = -83 -83 + 8x + 10y = 31 Solving -83 + 8x + 10y = 31 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '83' to each side of the equation. -83 + 8x + 83 + 10y = 31 + 83 Reorder the terms: -83 + 83 + 8x + 10y = 31 + 83 Combine like terms: -83 + 83 = 0 0 + 8x + 10y = 31 + 83 8x + 10y = 31 + 83 Combine like terms: 31 + 83 = 114 8x + 10y = 114 Add '-10y' to each side of the equation. 8x + 10y + -10y = 114 + -10y Combine like terms: 10y + -10y = 0 8x + 0 = 114 + -10y 8x = 114 + -10y Divide each side by '8'. x = 14.25 + -1.25y Simplifying x = 14.25 + -1.25y
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