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Simplifying 0.25(12x + -4) = -3(-3 + x) + -5x Reorder the terms: 0.25(-4 + 12x) = -3(-3 + x) + -5x (-4 * 0.25 + 12x * 0.25) = -3(-3 + x) + -5x (-1 + 3x) = -3(-3 + x) + -5x -1 + 3x = (-3 * -3 + x * -3) + -5x -1 + 3x = (9 + -3x) + -5x Combine like terms: -3x + -5x = -8x -1 + 3x = 9 + -8x Solving -1 + 3x = 9 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -1 + 3x + 8x = 9 + -8x + 8x Combine like terms: 3x + 8x = 11x -1 + 11x = 9 + -8x + 8x Combine like terms: -8x + 8x = 0 -1 + 11x = 9 + 0 -1 + 11x = 9 Add '1' to each side of the equation. -1 + 1 + 11x = 9 + 1 Combine like terms: -1 + 1 = 0 0 + 11x = 9 + 1 11x = 9 + 1 Combine like terms: 9 + 1 = 10 11x = 10 Divide each side by '11'. x = 0.9090909091 Simplifying x = 0.9090909091
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