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Simplifying 4x + -1(x + 10) = -2(1 + -1x) Reorder the terms: 4x + -1(10 + x) = -2(1 + -1x) 4x + (10 * -1 + x * -1) = -2(1 + -1x) 4x + (-10 + -1x) = -2(1 + -1x) Reorder the terms: -10 + 4x + -1x = -2(1 + -1x) Combine like terms: 4x + -1x = 3x -10 + 3x = -2(1 + -1x) -10 + 3x = (1 * -2 + -1x * -2) -10 + 3x = (-2 + 2x) Solving -10 + 3x = -2 + 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. -10 + 3x + -2x = -2 + 2x + -2x Combine like terms: 3x + -2x = 1x -10 + 1x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 -10 + 1x = -2 + 0 -10 + 1x = -2 Add '10' to each side of the equation. -10 + 10 + 1x = -2 + 10 Combine like terms: -10 + 10 = 0 0 + 1x = -2 + 10 1x = -2 + 10 Combine like terms: -2 + 10 = 8 1x = 8 Divide each side by '1'. x = 8 Simplifying x = 8
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