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Simplifying 3(x + -3) + -4(x + -5) = 6 Reorder the terms: 3(-3 + x) + -4(x + -5) = 6 (-3 * 3 + x * 3) + -4(x + -5) = 6 (-9 + 3x) + -4(x + -5) = 6 Reorder the terms: -9 + 3x + -4(-5 + x) = 6 -9 + 3x + (-5 * -4 + x * -4) = 6 -9 + 3x + (20 + -4x) = 6 Reorder the terms: -9 + 20 + 3x + -4x = 6 Combine like terms: -9 + 20 = 11 11 + 3x + -4x = 6 Combine like terms: 3x + -4x = -1x 11 + -1x = 6 Solving 11 + -1x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1x = 6 + -11 Combine like terms: 11 + -11 = 0 0 + -1x = 6 + -11 -1x = 6 + -11 Combine like terms: 6 + -11 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5
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