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Simplifying 0.36 + 0.6x = 0.52(x + 1) Reorder the terms: 0.36 + 0.6x = 0.52(1 + x) 0.36 + 0.6x = (1 * 0.52 + x * 0.52) 0.36 + 0.6x = (0.52 + 0.52x) Solving 0.36 + 0.6x = 0.52 + 0.52x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.52x' to each side of the equation. 0.36 + 0.6x + -0.52x = 0.52 + 0.52x + -0.52x Combine like terms: 0.6x + -0.52x = 0.08x 0.36 + 0.08x = 0.52 + 0.52x + -0.52x Combine like terms: 0.52x + -0.52x = 0.00 0.36 + 0.08x = 0.52 + 0.00 0.36 + 0.08x = 0.52 Add '-0.36' to each side of the equation. 0.36 + -0.36 + 0.08x = 0.52 + -0.36 Combine like terms: 0.36 + -0.36 = 0.00 0.00 + 0.08x = 0.52 + -0.36 0.08x = 0.52 + -0.36 Combine like terms: 0.52 + -0.36 = 0.16 0.08x = 0.16 Divide each side by '0.08'. x = 2 Simplifying x = 2
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