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Simplifying 3x + -1(4x + 1) = 3(x + -1) Reorder the terms: 3x + -1(1 + 4x) = 3(x + -1) 3x + (1 * -1 + 4x * -1) = 3(x + -1) 3x + (-1 + -4x) = 3(x + -1) Reorder the terms: -1 + 3x + -4x = 3(x + -1) Combine like terms: 3x + -4x = -1x -1 + -1x = 3(x + -1) Reorder the terms: -1 + -1x = 3(-1 + x) -1 + -1x = (-1 * 3 + x * 3) -1 + -1x = (-3 + 3x) Solving -1 + -1x = -3 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -1 + -1x + -3x = -3 + 3x + -3x Combine like terms: -1x + -3x = -4x -1 + -4x = -3 + 3x + -3x Combine like terms: 3x + -3x = 0 -1 + -4x = -3 + 0 -1 + -4x = -3 Add '1' to each side of the equation. -1 + 1 + -4x = -3 + 1 Combine like terms: -1 + 1 = 0 0 + -4x = -3 + 1 -4x = -3 + 1 Combine like terms: -3 + 1 = -2 -4x = -2 Divide each side by '-4'. x = 0.5 Simplifying x = 0.5
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