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Simplifying 0.4(25x + -30) = 0.75(12x + 6) Reorder the terms: 0.4(-30 + 25x) = 0.75(12x + 6) (-30 * 0.4 + 25x * 0.4) = 0.75(12x + 6) (-12 + 10x) = 0.75(12x + 6) Reorder the terms: -12 + 10x = 0.75(6 + 12x) -12 + 10x = (6 * 0.75 + 12x * 0.75) -12 + 10x = (4.5 + 9x) Solving -12 + 10x = 4.5 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -12 + 10x + -9x = 4.5 + 9x + -9x Combine like terms: 10x + -9x = 1x -12 + 1x = 4.5 + 9x + -9x Combine like terms: 9x + -9x = 0 -12 + 1x = 4.5 + 0 -12 + 1x = 4.5 Add '12' to each side of the equation. -12 + 12 + 1x = 4.5 + 12 Combine like terms: -12 + 12 = 0 0 + 1x = 4.5 + 12 1x = 4.5 + 12 Combine like terms: 4.5 + 12 = 16.5 1x = 16.5 Divide each side by '1'. x = 16.5 Simplifying x = 16.5
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