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Simplifying -1(4x + 1) = 3(2x + -1) Reorder the terms: -1(1 + 4x) = 3(2x + -1) (1 * -1 + 4x * -1) = 3(2x + -1) (-1 + -4x) = 3(2x + -1) Reorder the terms: -1 + -4x = 3(-1 + 2x) -1 + -4x = (-1 * 3 + 2x * 3) -1 + -4x = (-3 + 6x) Solving -1 + -4x = -3 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -1 + -4x + -6x = -3 + 6x + -6x Combine like terms: -4x + -6x = -10x -1 + -10x = -3 + 6x + -6x Combine like terms: 6x + -6x = 0 -1 + -10x = -3 + 0 -1 + -10x = -3 Add '1' to each side of the equation. -1 + 1 + -10x = -3 + 1 Combine like terms: -1 + 1 = 0 0 + -10x = -3 + 1 -10x = -3 + 1 Combine like terms: -3 + 1 = -2 -10x = -2 Divide each side by '-10'. x = 0.2 Simplifying x = 0.2
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