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Simplifying 1.2(x + 5) = 1.6 * 2x + 5 Reorder the terms: 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 Multiply 1.6 * 2 6 + 1.2x = 3.2x + 5 Reorder the terms: 6 + 1.2x = 5 + 3.2x Solving 6 + 1.2x = 5 + 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 = 5 + 3.2x + -3.2x Combine like terms: 1.2x + -3.2x = -2x 6 + -2x = 5 + 3.2x + -3.2x Combine like terms: 3.2x + -3.2x = 0.0 6 + -2x = 5 + 0.0 6 + -2x = 5 Add '-6' to each side of the equation. 6 + -6 + -2x = 5 + -6 Combine like terms: 6 + -6 = 0 0 + -2x = 5 + -6 -2x = 5 + -6 Combine like terms: 5 + -6 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5
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