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Simplifying 4 + -3(x + 2) + -2(x + -4) + 8 = -11 Reorder the terms: 4 + -3(2 + x) + -2(x + -4) + 8 = -11 4 + (2 * -3 + x * -3) + -2(x + -4) + 8 = -11 4 + (-6 + -3x) + -2(x + -4) + 8 = -11 Reorder the terms: 4 + -6 + -3x + -2(-4 + x) + 8 = -11 4 + -6 + -3x + (-4 * -2 + x * -2) + 8 = -11 4 + -6 + -3x + (8 + -2x) + 8 = -11 Reorder the terms: 4 + -6 + 8 + 8 + -3x + -2x = -11 Combine like terms: 4 + -6 = -2 -2 + 8 + 8 + -3x + -2x = -11 Combine like terms: -2 + 8 = 6 6 + 8 + -3x + -2x = -11 Combine like terms: 6 + 8 = 14 14 + -3x + -2x = -11 Combine like terms: -3x + -2x = -5x 14 + -5x = -11 Solving 14 + -5x = -11 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -5x = -11 + -14 Combine like terms: 14 + -14 = 0 0 + -5x = -11 + -14 -5x = -11 + -14 Combine like terms: -11 + -14 = -25 -5x = -25 Divide each side by '-5'. x = 5 Simplifying x = 5
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