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Simplifying 5(2x + -7) + 8(y + 6) = 31 Reorder the terms: 5(-7 + 2x) + 8(y + 6) = 31 (-7 * 5 + 2x * 5) + 8(y + 6) = 31 (-35 + 10x) + 8(y + 6) = 31 Reorder the terms: -35 + 10x + 8(6 + y) = 31 -35 + 10x + (6 * 8 + y * 8) = 31 -35 + 10x + (48 + 8y) = 31 Reorder the terms: -35 + 48 + 10x + 8y = 31 Combine like terms: -35 + 48 = 13 13 + 10x + 8y = 31 Solving 13 + 10x + 8y = 31 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + 10x + -13 + 8y = 31 + -13 Reorder the terms: 13 + -13 + 10x + 8y = 31 + -13 Combine like terms: 13 + -13 = 0 0 + 10x + 8y = 31 + -13 10x + 8y = 31 + -13 Combine like terms: 31 + -13 = 18 10x + 8y = 18 Add '-8y' to each side of the equation. 10x + 8y + -8y = 18 + -8y Combine like terms: 8y + -8y = 0 10x + 0 = 18 + -8y 10x = 18 + -8y Divide each side by '10'. x = 1.8 + -0.8y Simplifying x = 1.8 + -0.8y
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