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Simplifying 3(x + 1.5) = 2x + 7.4 Reorder the terms: 3(1.5 + x) = 2x + 7.4 (1.5 * 3 + x * 3) = 2x + 7.4 (4.5 + 3x) = 2x + 7.4 Reorder the terms: 4.5 + 3x = 7.4 + 2x Solving 4.5 + 3x = 7.4 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 4.5 + 3x + -2x = 7.4 + 2x + -2x Combine like terms: 3x + -2x = 1x 4.5 + 1x = 7.4 + 2x + -2x Combine like terms: 2x + -2x = 0 4.5 + 1x = 7.4 + 0 4.5 + 1x = 7.4 Add '-4.5' to each side of the equation. 4.5 + -4.5 + 1x = 7.4 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + 1x = 7.4 + -4.5 1x = 7.4 + -4.5 Combine like terms: 7.4 + -4.5 = 2.9 1x = 2.9 Divide each side by '1'. x = 2.9 Simplifying x = 2.9
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