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Simplifying -10x + -3 + 2(5 + 6x) + -9x + -3 + -1(1 + -1x) = 0 -10x + -3 + (5 * 2 + 6x * 2) + -9x + -3 + -1(1 + -1x) = 0 -10x + -3 + (10 + 12x) + -9x + -3 + -1(1 + -1x) = 0 -10x + -3 + 10 + 12x + -9x + -3 + (1 * -1 + -1x * -1) = 0 -10x + -3 + 10 + 12x + -9x + -3 + (-1 + 1x) = 0 Reorder the terms: -3 + 10 + -3 + -1 + -10x + 12x + -9x + 1x = 0 Combine like terms: -3 + 10 = 7 7 + -3 + -1 + -10x + 12x + -9x + 1x = 0 Combine like terms: 7 + -3 = 4 4 + -1 + -10x + 12x + -9x + 1x = 0 Combine like terms: 4 + -1 = 3 3 + -10x + 12x + -9x + 1x = 0 Combine like terms: -10x + 12x = 2x 3 + 2x + -9x + 1x = 0 Combine like terms: 2x + -9x = -7x 3 + -7x + 1x = 0 Combine like terms: -7x + 1x = -6x 3 + -6x = 0 Solving 3 + -6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -6x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -6x = 0 + -3 -6x = 0 + -3 Combine like terms: 0 + -3 = -3 -6x = -3 Divide each side by '-6'. x = 0.5 Simplifying x = 0.5
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