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