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Simplifying 24 + 3.7x = 3(1.5x + 6) Reorder the terms: 24 + 3.7x = 3(6 + 1.5x) 24 + 3.7x = (6 * 3 + 1.5x * 3) 24 + 3.7x = (18 + 4.5x) Solving 24 + 3.7x = 18 + 4.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.5x' to each side of the equation. 24 + 3.7x + -4.5x = 18 + 4.5x + -4.5x Combine like terms: 3.7x + -4.5x = -0.8x 24 + -0.8x = 18 + 4.5x + -4.5x Combine like terms: 4.5x + -4.5x = 0.0 24 + -0.8x = 18 + 0.0 24 + -0.8x = 18 Add '-24' to each side of the equation. 24 + -24 + -0.8x = 18 + -24 Combine like terms: 24 + -24 = 0 0 + -0.8x = 18 + -24 -0.8x = 18 + -24 Combine like terms: 18 + -24 = -6 -0.8x = -6 Divide each side by '-0.8'. x = 7.5 Simplifying x = 7.5
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