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Simplifying 7(x + -2) + -4(x + -5) = 36 Reorder the terms: 7(-2 + x) + -4(x + -5) = 36 (-2 * 7 + x * 7) + -4(x + -5) = 36 (-14 + 7x) + -4(x + -5) = 36 Reorder the terms: -14 + 7x + -4(-5 + x) = 36 -14 + 7x + (-5 * -4 + x * -4) = 36 -14 + 7x + (20 + -4x) = 36 Reorder the terms: -14 + 20 + 7x + -4x = 36 Combine like terms: -14 + 20 = 6 6 + 7x + -4x = 36 Combine like terms: 7x + -4x = 3x 6 + 3x = 36 Solving 6 + 3x = 36 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 3x = 36 + -6 Combine like terms: 6 + -6 = 0 0 + 3x = 36 + -6 3x = 36 + -6 Combine like terms: 36 + -6 = 30 3x = 30 Divide each side by '3'. x = 10 Simplifying x = 10
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