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Simplifying 7 + 4.1x = 3(1.5x + 2) Reorder the terms: 7 + 4.1x = 3(2 + 1.5x) 7 + 4.1x = (2 * 3 + 1.5x * 3) 7 + 4.1x = (6 + 4.5x) Solving 7 + 4.1x = 6 + 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. 7 + 4.1x + -4.5x = 6 + 4.5x + -4.5x Combine like terms: 4.1x + -4.5x = -0.4x 7 + -0.4x = 6 + 4.5x + -4.5x Combine like terms: 4.5x + -4.5x = 0.0 7 + -0.4x = 6 + 0.0 7 + -0.4x = 6 Add '-7' to each side of the equation. 7 + -7 + -0.4x = 6 + -7 Combine like terms: 7 + -7 = 0 0 + -0.4x = 6 + -7 -0.4x = 6 + -7 Combine like terms: 6 + -7 = -1 -0.4x = -1 Divide each side by '-0.4'. x = 2.5 Simplifying x = 2.5
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