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Simplifying 0.6x + 0.30(x + 10) = 10(0.21) Reorder the terms: 0.6x + 0.30(10 + x) = 10(0.21) 0.6x + (10 * 0.30 + x * 0.30) = 10(0.21) 0.6x + (3 + 0.30x) = 10(0.21) Reorder the terms: 3 + 0.6x + 0.30x = 10(0.21) Combine like terms: 0.6x + 0.30x = 0.9x 3 + 0.9x = 10(0.21) Multiply 10 * 0.21 3 + 0.9x = 2.1 Solving 3 + 0.9x = 2.1 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 = 2.1 + -3 Combine like terms: 3 + -3 = 0 0 + 0.9x = 2.1 + -3 0.9x = 2.1 + -3 Combine like terms: 2.1 + -3 = -0.9 0.9x = -0.9 Divide each side by '0.9'. x = -1 Simplifying x = -1
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