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Simplifying 10(3x + 5) = 2x + 21 Reorder the terms: 10(5 + 3x) = 2x + 21 (5 * 10 + 3x * 10) = 2x + 21 (50 + 30x) = 2x + 21 Reorder the terms: 50 + 30x = 21 + 2x Solving 50 + 30x = 21 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 50 + 30x + -2x = 21 + 2x + -2x Combine like terms: 30x + -2x = 28x 50 + 28x = 21 + 2x + -2x Combine like terms: 2x + -2x = 0 50 + 28x = 21 + 0 50 + 28x = 21 Add '-50' to each side of the equation. 50 + -50 + 28x = 21 + -50 Combine like terms: 50 + -50 = 0 0 + 28x = 21 + -50 28x = 21 + -50 Combine like terms: 21 + -50 = -29 28x = -29 Divide each side by '28'. x = -1.035714286 Simplifying x = -1.035714286
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