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Simplifying 2(x + 6) + -3(x + -4) + -5x = 0 Reorder the terms: 2(6 + x) + -3(x + -4) + -5x = 0 (6 * 2 + x * 2) + -3(x + -4) + -5x = 0 (12 + 2x) + -3(x + -4) + -5x = 0 Reorder the terms: 12 + 2x + -3(-4 + x) + -5x = 0 12 + 2x + (-4 * -3 + x * -3) + -5x = 0 12 + 2x + (12 + -3x) + -5x = 0 Reorder the terms: 12 + 12 + 2x + -3x + -5x = 0 Combine like terms: 12 + 12 = 24 24 + 2x + -3x + -5x = 0 Combine like terms: 2x + -3x = -1x 24 + -1x + -5x = 0 Combine like terms: -1x + -5x = -6x 24 + -6x = 0 Solving 24 + -6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -6x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -6x = 0 + -24 -6x = 0 + -24 Combine like terms: 0 + -24 = -24 -6x = -24 Divide each side by '-6'. x = 4 Simplifying x = 4
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