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Simplifying 1.5(x + 2) + -2 = 7x Reorder the terms: 1.5(2 + x) + -2 = 7x (2 * 1.5 + x * 1.5) + -2 = 7x (3 + 1.5x) + -2 = 7x Reorder the terms: 3 + -2 + 1.5x = 7x Combine like terms: 3 + -2 = 1 1 + 1.5x = 7x Solving 1 + 1.5x = 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 1 + 1.5x + -7x = 7x + -7x Combine like terms: 1.5x + -7x = -5.5x 1 + -5.5x = 7x + -7x Combine like terms: 7x + -7x = 0 1 + -5.5x = 0 Add '-1' to each side of the equation. 1 + -1 + -5.5x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5.5x = 0 + -1 -5.5x = 0 + -1 Combine like terms: 0 + -1 = -1 -5.5x = -1 Divide each side by '-5.5'. x = 0.1818181818 Simplifying x = 0.1818181818
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