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Simplifying 7(x + -2) + -1(6 + -4x) = 10x Reorder the terms: 7(-2 + x) + -1(6 + -4x) = 10x (-2 * 7 + x * 7) + -1(6 + -4x) = 10x (-14 + 7x) + -1(6 + -4x) = 10x -14 + 7x + (6 * -1 + -4x * -1) = 10x -14 + 7x + (-6 + 4x) = 10x Reorder the terms: -14 + -6 + 7x + 4x = 10x Combine like terms: -14 + -6 = -20 -20 + 7x + 4x = 10x Combine like terms: 7x + 4x = 11x -20 + 11x = 10x Solving -20 + 11x = 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. -20 + 11x + -10x = 10x + -10x Combine like terms: 11x + -10x = 1x -20 + 1x = 10x + -10x Combine like terms: 10x + -10x = 0 -20 + 1x = 0 Add '20' to each side of the equation. -20 + 20 + 1x = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 1x = 0 + 20 1x = 0 + 20 Combine like terms: 0 + 20 = 20 1x = 20 Divide each side by '1'. x = 20 Simplifying x = 20
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