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Simplifying -2(4 + -7x) + -2(x + -1) = 10x (4 * -2 + -7x * -2) + -2(x + -1) = 10x (-8 + 14x) + -2(x + -1) = 10x Reorder the terms: -8 + 14x + -2(-1 + x) = 10x -8 + 14x + (-1 * -2 + x * -2) = 10x -8 + 14x + (2 + -2x) = 10x Reorder the terms: -8 + 2 + 14x + -2x = 10x Combine like terms: -8 + 2 = -6 -6 + 14x + -2x = 10x Combine like terms: 14x + -2x = 12x -6 + 12x = 10x Solving -6 + 12x = 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -6 + 12x + -10x = 10x + -10x Combine like terms: 12x + -10x = 2x -6 + 2x = 10x + -10x Combine like terms: 10x + -10x = 0 -6 + 2x = 0 Add '6' to each side of the equation. -6 + 6 + 2x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 2x = 0 + 6 2x = 0 + 6 Combine like terms: 0 + 6 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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