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Simplifying 4(x + -3) + -5(x + -4) = 11 Reorder the terms: 4(-3 + x) + -5(x + -4) = 11 (-3 * 4 + x * 4) + -5(x + -4) = 11 (-12 + 4x) + -5(x + -4) = 11 Reorder the terms: -12 + 4x + -5(-4 + x) = 11 -12 + 4x + (-4 * -5 + x * -5) = 11 -12 + 4x + (20 + -5x) = 11 Reorder the terms: -12 + 20 + 4x + -5x = 11 Combine like terms: -12 + 20 = 8 8 + 4x + -5x = 11 Combine like terms: 4x + -5x = -1x 8 + -1x = 11 Solving 8 + -1x = 11 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 11 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 11 + -8 -1x = 11 + -8 Combine like terms: 11 + -8 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3
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