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Simplifying 11 = -4(x + -4) + 9(x + -5) Reorder the terms: 11 = -4(-4 + x) + 9(x + -5) 11 = (-4 * -4 + x * -4) + 9(x + -5) 11 = (16 + -4x) + 9(x + -5) Reorder the terms: 11 = 16 + -4x + 9(-5 + x) 11 = 16 + -4x + (-5 * 9 + x * 9) 11 = 16 + -4x + (-45 + 9x) Reorder the terms: 11 = 16 + -45 + -4x + 9x Combine like terms: 16 + -45 = -29 11 = -29 + -4x + 9x Combine like terms: -4x + 9x = 5x 11 = -29 + 5x Solving 11 = -29 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 11 + -5x = -29 + 5x + -5x Combine like terms: 5x + -5x = 0 11 + -5x = -29 + 0 11 + -5x = -29 Add '-11' to each side of the equation. 11 + -11 + -5x = -29 + -11 Combine like terms: 11 + -11 = 0 0 + -5x = -29 + -11 -5x = -29 + -11 Combine like terms: -29 + -11 = -40 -5x = -40 Divide each side by '-5'. x = 8 Simplifying x = 8
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