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Simplifying -2(-4 + -5x) + -2(10x + -2) = -7x + 9x (-4 * -2 + -5x * -2) + -2(10x + -2) = -7x + 9x (8 + 10x) + -2(10x + -2) = -7x + 9x Reorder the terms: 8 + 10x + -2(-2 + 10x) = -7x + 9x 8 + 10x + (-2 * -2 + 10x * -2) = -7x + 9x 8 + 10x + (4 + -20x) = -7x + 9x Reorder the terms: 8 + 4 + 10x + -20x = -7x + 9x Combine like terms: 8 + 4 = 12 12 + 10x + -20x = -7x + 9x Combine like terms: 10x + -20x = -10x 12 + -10x = -7x + 9x Combine like terms: -7x + 9x = 2x 12 + -10x = 2x Solving 12 + -10x = 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 12 + -10x + -2x = 2x + -2x Combine like terms: -10x + -2x = -12x 12 + -12x = 2x + -2x Combine like terms: 2x + -2x = 0 12 + -12x = 0 Add '-12' to each side of the equation. 12 + -12 + -12x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -12x = 0 + -12 -12x = 0 + -12 Combine like terms: 0 + -12 = -12 -12x = -12 Divide each side by '-12'. x = 1 Simplifying x = 1
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