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Simplifying -2(5 + -9x) + -2(x + -1) = 12x (5 * -2 + -9x * -2) + -2(x + -1) = 12x (-10 + 18x) + -2(x + -1) = 12x Reorder the terms: -10 + 18x + -2(-1 + x) = 12x -10 + 18x + (-1 * -2 + x * -2) = 12x -10 + 18x + (2 + -2x) = 12x Reorder the terms: -10 + 2 + 18x + -2x = 12x Combine like terms: -10 + 2 = -8 -8 + 18x + -2x = 12x Combine like terms: 18x + -2x = 16x -8 + 16x = 12x Solving -8 + 16x = 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -8 + 16x + -12x = 12x + -12x Combine like terms: 16x + -12x = 4x -8 + 4x = 12x + -12x Combine like terms: 12x + -12x = 0 -8 + 4x = 0 Add '8' to each side of the equation. -8 + 8 + 4x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 4x = 0 + 8 4x = 0 + 8 Combine like terms: 0 + 8 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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