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Simplifying 5(x + -7) + -4(x + 6) = 36 Reorder the terms: 5(-7 + x) + -4(x + 6) = 36 (-7 * 5 + x * 5) + -4(x + 6) = 36 (-35 + 5x) + -4(x + 6) = 36 Reorder the terms: -35 + 5x + -4(6 + x) = 36 -35 + 5x + (6 * -4 + x * -4) = 36 -35 + 5x + (-24 + -4x) = 36 Reorder the terms: -35 + -24 + 5x + -4x = 36 Combine like terms: -35 + -24 = -59 -59 + 5x + -4x = 36 Combine like terms: 5x + -4x = 1x -59 + 1x = 36 Solving -59 + 1x = 36 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '59' to each side of the equation. -59 + 59 + 1x = 36 + 59 Combine like terms: -59 + 59 = 0 0 + 1x = 36 + 59 1x = 36 + 59 Combine like terms: 36 + 59 = 95 1x = 95 Divide each side by '1'. x = 95 Simplifying x = 95
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