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Simplifying 0.75(8x + 12) + -4(25x + -20) = 3x + -4 Reorder the terms: 0.75(12 + 8x) + -4(25x + -20) = 3x + -4 (12 * 0.75 + 8x * 0.75) + -4(25x + -20) = 3x + -4 (9 + 6x) + -4(25x + -20) = 3x + -4 Reorder the terms: 9 + 6x + -4(-20 + 25x) = 3x + -4 9 + 6x + (-20 * -4 + 25x * -4) = 3x + -4 9 + 6x + (80 + -100x) = 3x + -4 Reorder the terms: 9 + 80 + 6x + -100x = 3x + -4 Combine like terms: 9 + 80 = 89 89 + 6x + -100x = 3x + -4 Combine like terms: 6x + -100x = -94x 89 + -94x = 3x + -4 Reorder the terms: 89 + -94x = -4 + 3x Solving 89 + -94x = -4 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 89 + -94x + -3x = -4 + 3x + -3x Combine like terms: -94x + -3x = -97x 89 + -97x = -4 + 3x + -3x Combine like terms: 3x + -3x = 0 89 + -97x = -4 + 0 89 + -97x = -4 Add '-89' to each side of the equation. 89 + -89 + -97x = -4 + -89 Combine like terms: 89 + -89 = 0 0 + -97x = -4 + -89 -97x = -4 + -89 Combine like terms: -4 + -89 = -93 -97x = -93 Divide each side by '-97'. x = 0.9587628866 Simplifying x = 0.9587628866
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