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Simplifying 30 * 2 + x * 1 = 1.60(30 + x) Multiply 30 * 2 60 + x * 1 = 1.60(30 + x) Reorder the terms for easier multiplication: 60 + 1x = 1.60(30 + x) 60 + 1x = (30 * 1.60 + x * 1.60) 60 + 1x = (48 + 1.60x) Solving 60 + 1x = 48 + 1.60x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.60x' to each side of the equation. 60 + 1x + -1.60x = 48 + 1.60x + -1.60x Combine like terms: 1x + -1.60x = -0.6x 60 + -0.6x = 48 + 1.60x + -1.60x Combine like terms: 1.60x + -1.60x = 0.00 60 + -0.6x = 48 + 0.00 60 + -0.6x = 48 Add '-60' to each side of the equation. 60 + -60 + -0.6x = 48 + -60 Combine like terms: 60 + -60 = 0 0 + -0.6x = 48 + -60 -0.6x = 48 + -60 Combine like terms: 48 + -60 = -12 -0.6x = -12 Divide each side by '-0.6'. x = 20 Simplifying x = 20
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