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Simplifying 5x + -3(1 + -1x) = 4(3x + -1) 5x + (1 * -3 + -1x * -3) = 4(3x + -1) 5x + (-3 + 3x) = 4(3x + -1) Reorder the terms: -3 + 5x + 3x = 4(3x + -1) Combine like terms: 5x + 3x = 8x -3 + 8x = 4(3x + -1) Reorder the terms: -3 + 8x = 4(-1 + 3x) -3 + 8x = (-1 * 4 + 3x * 4) -3 + 8x = (-4 + 12x) Solving -3 + 8x = -4 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -3 + 8x + -12x = -4 + 12x + -12x Combine like terms: 8x + -12x = -4x -3 + -4x = -4 + 12x + -12x Combine like terms: 12x + -12x = 0 -3 + -4x = -4 + 0 -3 + -4x = -4 Add '3' to each side of the equation. -3 + 3 + -4x = -4 + 3 Combine like terms: -3 + 3 = 0 0 + -4x = -4 + 3 -4x = -4 + 3 Combine like terms: -4 + 3 = -1 -4x = -1 Divide each side by '-4'. x = 0.25 Simplifying x = 0.25
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