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Simplifying 0.25(8x + -4) = 0.33(9x + -27) Reorder the terms: 0.25(-4 + 8x) = 0.33(9x + -27) (-4 * 0.25 + 8x * 0.25) = 0.33(9x + -27) (-1 + 2x) = 0.33(9x + -27) Reorder the terms: -1 + 2x = 0.33(-27 + 9x) -1 + 2x = (-27 * 0.33 + 9x * 0.33) -1 + 2x = (-8.91 + 2.97x) Solving -1 + 2x = -8.91 + 2.97x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.97x' to each side of the equation. -1 + 2x + -2.97x = -8.91 + 2.97x + -2.97x Combine like terms: 2x + -2.97x = -0.97x -1 + -0.97x = -8.91 + 2.97x + -2.97x Combine like terms: 2.97x + -2.97x = 0.00 -1 + -0.97x = -8.91 + 0.00 -1 + -0.97x = -8.91 Add '1' to each side of the equation. -1 + 1 + -0.97x = -8.91 + 1 Combine like terms: -1 + 1 = 0 0 + -0.97x = -8.91 + 1 -0.97x = -8.91 + 1 Combine like terms: -8.91 + 1 = -7.91 -0.97x = -7.91 Divide each side by '-0.97'. x = 8.154639175 Simplifying x = 8.154639175
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