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Simplifying 11 = -5(x + -4) + 8(x + -3) Reorder the terms: 11 = -5(-4 + x) + 8(x + -3) 11 = (-4 * -5 + x * -5) + 8(x + -3) 11 = (20 + -5x) + 8(x + -3) Reorder the terms: 11 = 20 + -5x + 8(-3 + x) 11 = 20 + -5x + (-3 * 8 + x * 8) 11 = 20 + -5x + (-24 + 8x) Reorder the terms: 11 = 20 + -24 + -5x + 8x Combine like terms: 20 + -24 = -4 11 = -4 + -5x + 8x Combine like terms: -5x + 8x = 3x 11 = -4 + 3x Solving 11 = -4 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 11 + -3x = -4 + 3x + -3x Combine like terms: 3x + -3x = 0 11 + -3x = -4 + 0 11 + -3x = -4 Add '-11' to each side of the equation. 11 + -11 + -3x = -4 + -11 Combine like terms: 11 + -11 = 0 0 + -3x = -4 + -11 -3x = -4 + -11 Combine like terms: -4 + -11 = -15 -3x = -15 Divide each side by '-3'. x = 5 Simplifying x = 5
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