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Simplifying 5.2(x + 3) = 5 + 1.2x Reorder the terms: 5.2(3 + x) = 5 + 1.2x (3 * 5.2 + x * 5.2) = 5 + 1.2x (15.6 + 5.2x) = 5 + 1.2x Solving 15.6 + 5.2x = 5 + 1.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.2x' to each side of the equation. 15.6 + 5.2x + -1.2x = 5 + 1.2x + -1.2x Combine like terms: 5.2x + -1.2x = 4x 15.6 + 4x = 5 + 1.2x + -1.2x Combine like terms: 1.2x + -1.2x = 0.0 15.6 + 4x = 5 + 0.0 15.6 + 4x = 5 Add '-15.6' to each side of the equation. 15.6 + -15.6 + 4x = 5 + -15.6 Combine like terms: 15.6 + -15.6 = 0.0 0.0 + 4x = 5 + -15.6 4x = 5 + -15.6 Combine like terms: 5 + -15.6 = -10.6 4x = -10.6 Divide each side by '4'. x = -2.65 Simplifying x = -2.65
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