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Simplifying 3x + 2.5 = 1.5(x + 4) Reorder the terms: 2.5 + 3x = 1.5(x + 4) Reorder the terms: 2.5 + 3x = 1.5(4 + x) 2.5 + 3x = (4 * 1.5 + x * 1.5) 2.5 + 3x = (6 + 1.5x) Solving 2.5 + 3x = 6 + 1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5x' to each side of the equation. 2.5 + 3x + -1.5x = 6 + 1.5x + -1.5x Combine like terms: 3x + -1.5x = 1.5x 2.5 + 1.5x = 6 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 2.5 + 1.5x = 6 + 0.0 2.5 + 1.5x = 6 Add '-2.5' to each side of the equation. 2.5 + -2.5 + 1.5x = 6 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + 1.5x = 6 + -2.5 1.5x = 6 + -2.5 Combine like terms: 6 + -2.5 = 3.5 1.5x = 3.5 Divide each side by '1.5'. x = 2.333333333 Simplifying x = 2.333333333
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