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Simplifying 5.2(2x + 3) = 3(x + 10) Reorder the terms: 5.2(3 + 2x) = 3(x + 10) (3 * 5.2 + 2x * 5.2) = 3(x + 10) (15.6 + 10.4x) = 3(x + 10) Reorder the terms: 15.6 + 10.4x = 3(10 + x) 15.6 + 10.4x = (10 * 3 + x * 3) 15.6 + 10.4x = (30 + 3x) Solving 15.6 + 10.4x = 30 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 15.6 + 10.4x + -3x = 30 + 3x + -3x Combine like terms: 10.4x + -3x = 7.4x 15.6 + 7.4x = 30 + 3x + -3x Combine like terms: 3x + -3x = 0 15.6 + 7.4x = 30 + 0 15.6 + 7.4x = 30 Add '-15.6' to each side of the equation. 15.6 + -15.6 + 7.4x = 30 + -15.6 Combine like terms: 15.6 + -15.6 = 0.0 0.0 + 7.4x = 30 + -15.6 7.4x = 30 + -15.6 Combine like terms: 30 + -15.6 = 14.4 7.4x = 14.4 Divide each side by '7.4'. x = 1.945945946 Simplifying x = 1.945945946
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