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Simplifying x(0.6) + 0.30(x + 10) = 10(21) Reorder the terms for easier multiplication: 0.6x + 0.30(x + 10) = 10(21) Reorder the terms: 0.6x + 0.30(10 + x) = 10(21) 0.6x + (10 * 0.30 + x * 0.30) = 10(21) 0.6x + (3 + 0.30x) = 10(21) Reorder the terms: 3 + 0.6x + 0.30x = 10(21) Combine like terms: 0.6x + 0.30x = 0.9x 3 + 0.9x = 10(21) Multiply 10 * 21 3 + 0.9x = 210 Solving 3 + 0.9x = 210 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 0.9x = 210 + -3 Combine like terms: 3 + -3 = 0 0 + 0.9x = 210 + -3 0.9x = 210 + -3 Combine like terms: 210 + -3 = 207 0.9x = 207 Divide each side by '0.9'. x = 230 Simplifying x = 230
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