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Simplifying 0.33(18x + 15) = 0.25(4x + 12) Reorder the terms: 0.33(15 + 18x) = 0.25(4x + 12) (15 * 0.33 + 18x * 0.33) = 0.25(4x + 12) (4.95 + 5.94x) = 0.25(4x + 12) Reorder the terms: 4.95 + 5.94x = 0.25(12 + 4x) 4.95 + 5.94x = (12 * 0.25 + 4x * 0.25) 4.95 + 5.94x = (3 + 1x) Solving 4.95 + 5.94x = 3 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 4.95 + 5.94x + -1x = 3 + 1x + -1x Combine like terms: 5.94x + -1x = 4.94x 4.95 + 4.94x = 3 + 1x + -1x Combine like terms: 1x + -1x = 0 4.95 + 4.94x = 3 + 0 4.95 + 4.94x = 3 Add '-4.95' to each side of the equation. 4.95 + -4.95 + 4.94x = 3 + -4.95 Combine like terms: 4.95 + -4.95 = 0.00 0.00 + 4.94x = 3 + -4.95 4.94x = 3 + -4.95 Combine like terms: 3 + -4.95 = -1.95 4.94x = -1.95 Divide each side by '4.94'. x = -0.3947368421 Simplifying x = -0.3947368421
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