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Simplifying 2(x + -2) + 5(2 + -1x) + 6(x + 1) = 0 Reorder the terms: 2(-2 + x) + 5(2 + -1x) + 6(x + 1) = 0 (-2 * 2 + x * 2) + 5(2 + -1x) + 6(x + 1) = 0 (-4 + 2x) + 5(2 + -1x) + 6(x + 1) = 0 -4 + 2x + (2 * 5 + -1x * 5) + 6(x + 1) = 0 -4 + 2x + (10 + -5x) + 6(x + 1) = 0 Reorder the terms: -4 + 2x + 10 + -5x + 6(1 + x) = 0 -4 + 2x + 10 + -5x + (1 * 6 + x * 6) = 0 -4 + 2x + 10 + -5x + (6 + 6x) = 0 Reorder the terms: -4 + 10 + 6 + 2x + -5x + 6x = 0 Combine like terms: -4 + 10 = 6 6 + 6 + 2x + -5x + 6x = 0 Combine like terms: 6 + 6 = 12 12 + 2x + -5x + 6x = 0 Combine like terms: 2x + -5x = -3x 12 + -3x + 6x = 0 Combine like terms: -3x + 6x = 3x 12 + 3x = 0 Solving 12 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 3x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 3x = 0 + -12 3x = 0 + -12 Combine like terms: 0 + -12 = -12 3x = -12 Divide each side by '3'. x = -4 Simplifying x = -4
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