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Simplifying 10x + 9 = 3 + 2(x + 5) Reorder the terms: 9 + 10x = 3 + 2(x + 5) Reorder the terms: 9 + 10x = 3 + 2(5 + x) 9 + 10x = 3 + (5 * 2 + x * 2) 9 + 10x = 3 + (10 + 2x) Combine like terms: 3 + 10 = 13 9 + 10x = 13 + 2x Solving 9 + 10x = 13 + 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. 9 + 10x + -2x = 13 + 2x + -2x Combine like terms: 10x + -2x = 8x 9 + 8x = 13 + 2x + -2x Combine like terms: 2x + -2x = 0 9 + 8x = 13 + 0 9 + 8x = 13 Add '-9' to each side of the equation. 9 + -9 + 8x = 13 + -9 Combine like terms: 9 + -9 = 0 0 + 8x = 13 + -9 8x = 13 + -9 Combine like terms: 13 + -9 = 4 8x = 4 Divide each side by '8'. x = 0.5 Simplifying x = 0.5
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