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Simplifying 1 + 0.60x = 0.30(5 + x) 1 + 0.60x = (5 * 0.30 + x * 0.30) 1 + 0.60x = (1.5 + 0.30x) Solving 1 + 0.60x = 1.5 + 0.30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.30x' to each side of the equation. 1 + 0.60x + -0.30x = 1.5 + 0.30x + -0.30x Combine like terms: 0.60x + -0.30x = 0.3x 1 + 0.3x = 1.5 + 0.30x + -0.30x Combine like terms: 0.30x + -0.30x = 0.00 1 + 0.3x = 1.5 + 0.00 1 + 0.3x = 1.5 Add '-1' to each side of the equation. 1 + -1 + 0.3x = 1.5 + -1 Combine like terms: 1 + -1 = 0 0 + 0.3x = 1.5 + -1 0.3x = 1.5 + -1 Combine like terms: 1.5 + -1 = 0.5 0.3x = 0.5 Divide each side by '0.3'. x = 1.666666667 Simplifying x = 1.666666667
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