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Simplifying 1.2(5 + x) = 1.6(2x + 5) (5 * 1.2 + x * 1.2) = 1.6(2x + 5) (6 + 1.2x) = 1.6(2x + 5) Reorder the terms: 6 + 1.2x = 1.6(5 + 2x) 6 + 1.2x = (5 * 1.6 + 2x * 1.6) 6 + 1.2x = (8 + 3.2x) Solving 6 + 1.2x = 8 + 3.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.2x' to each side of the equation. 6 + 1.2x + -3.2x = 8 + 3.2x + -3.2x Combine like terms: 1.2x + -3.2x = -2x 6 + -2x = 8 + 3.2x + -3.2x Combine like terms: 3.2x + -3.2x = 0.0 6 + -2x = 8 + 0.0 6 + -2x = 8 Add '-6' to each side of the equation. 6 + -6 + -2x = 8 + -6 Combine like terms: 6 + -6 = 0 0 + -2x = 8 + -6 -2x = 8 + -6 Combine like terms: 8 + -6 = 2 -2x = 2 Divide each side by '-2'. x = -1 Simplifying x = -1
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