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Simplifying -2(x + -3) + 4(x + -2) + -8 + -5x = 0 Reorder the terms: -2(-3 + x) + 4(x + -2) + -8 + -5x = 0 (-3 * -2 + x * -2) + 4(x + -2) + -8 + -5x = 0 (6 + -2x) + 4(x + -2) + -8 + -5x = 0 Reorder the terms: 6 + -2x + 4(-2 + x) + -8 + -5x = 0 6 + -2x + (-2 * 4 + x * 4) + -8 + -5x = 0 6 + -2x + (-8 + 4x) + -8 + -5x = 0 Reorder the terms: 6 + -8 + -8 + -2x + 4x + -5x = 0 Combine like terms: 6 + -8 = -2 -2 + -8 + -2x + 4x + -5x = 0 Combine like terms: -2 + -8 = -10 -10 + -2x + 4x + -5x = 0 Combine like terms: -2x + 4x = 2x -10 + 2x + -5x = 0 Combine like terms: 2x + -5x = -3x -10 + -3x = 0 Solving -10 + -3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -3x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -3x = 0 + 10 -3x = 0 + 10 Combine like terms: 0 + 10 = 10 -3x = 10 Divide each side by '-3'. x = -3.333333333 Simplifying x = -3.333333333
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