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Simplifying 3(x + 2) = 25(12x + 4) + -5x Reorder the terms: 3(2 + x) = 25(12x + 4) + -5x (2 * 3 + x * 3) = 25(12x + 4) + -5x (6 + 3x) = 25(12x + 4) + -5x Reorder the terms: 6 + 3x = 25(4 + 12x) + -5x 6 + 3x = (4 * 25 + 12x * 25) + -5x 6 + 3x = (100 + 300x) + -5x Combine like terms: 300x + -5x = 295x 6 + 3x = 100 + 295x Solving 6 + 3x = 100 + 295x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-295x' to each side of the equation. 6 + 3x + -295x = 100 + 295x + -295x Combine like terms: 3x + -295x = -292x 6 + -292x = 100 + 295x + -295x Combine like terms: 295x + -295x = 0 6 + -292x = 100 + 0 6 + -292x = 100 Add '-6' to each side of the equation. 6 + -6 + -292x = 100 + -6 Combine like terms: 6 + -6 = 0 0 + -292x = 100 + -6 -292x = 100 + -6 Combine like terms: 100 + -6 = 94 -292x = 94 Divide each side by '-292'. x = -0.3219178082 Simplifying x = -0.3219178082
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