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Simplifying 0.67(6x + -15) = 0.75(8x + 12) Reorder the terms: 0.67(-15 + 6x) = 0.75(8x + 12) (-15 * 0.67 + 6x * 0.67) = 0.75(8x + 12) (-10.05 + 4.02x) = 0.75(8x + 12) Reorder the terms: -10.05 + 4.02x = 0.75(12 + 8x) -10.05 + 4.02x = (12 * 0.75 + 8x * 0.75) -10.05 + 4.02x = (9 + 6x) Solving -10.05 + 4.02x = 9 + 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. -10.05 + 4.02x + -6x = 9 + 6x + -6x Combine like terms: 4.02x + -6x = -1.98x -10.05 + -1.98x = 9 + 6x + -6x Combine like terms: 6x + -6x = 0 -10.05 + -1.98x = 9 + 0 -10.05 + -1.98x = 9 Add '10.05' to each side of the equation. -10.05 + 10.05 + -1.98x = 9 + 10.05 Combine like terms: -10.05 + 10.05 = 0.00 0.00 + -1.98x = 9 + 10.05 -1.98x = 9 + 10.05 Combine like terms: 9 + 10.05 = 19.05 -1.98x = 19.05 Divide each side by '-1.98'. x = -9.621212121 Simplifying x = -9.621212121
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