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Simplifying -1(1 + 4x) = 3 + -1(3x + -3) (1 * -1 + 4x * -1) = 3 + -1(3x + -3) (-1 + -4x) = 3 + -1(3x + -3) Reorder the terms: -1 + -4x = 3 + -1(-3 + 3x) -1 + -4x = 3 + (-3 * -1 + 3x * -1) -1 + -4x = 3 + (3 + -3x) Combine like terms: 3 + 3 = 6 -1 + -4x = 6 + -3x Solving -1 + -4x = 6 + -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 + -4x + 3x = 6 + -3x + 3x Combine like terms: -4x + 3x = -1x -1 + -1x = 6 + -3x + 3x Combine like terms: -3x + 3x = 0 -1 + -1x = 6 + 0 -1 + -1x = 6 Add '1' to each side of the equation. -1 + 1 + -1x = 6 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 6 + 1 -1x = 6 + 1 Combine like terms: 6 + 1 = 7 -1x = 7 Divide each side by '-1'. x = -7 Simplifying x = -7
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