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