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Simplifying 3(x + 3) + 5(x + 5) = 10x Reorder the terms: 3(3 + x) + 5(x + 5) = 10x (3 * 3 + x * 3) + 5(x + 5) = 10x (9 + 3x) + 5(x + 5) = 10x Reorder the terms: 9 + 3x + 5(5 + x) = 10x 9 + 3x + (5 * 5 + x * 5) = 10x 9 + 3x + (25 + 5x) = 10x Reorder the terms: 9 + 25 + 3x + 5x = 10x Combine like terms: 9 + 25 = 34 34 + 3x + 5x = 10x Combine like terms: 3x + 5x = 8x 34 + 8x = 10x Solving 34 + 8x = 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 34 + 8x + -10x = 10x + -10x Combine like terms: 8x + -10x = -2x 34 + -2x = 10x + -10x Combine like terms: 10x + -10x = 0 34 + -2x = 0 Add '-34' to each side of the equation. 34 + -34 + -2x = 0 + -34 Combine like terms: 34 + -34 = 0 0 + -2x = 0 + -34 -2x = 0 + -34 Combine like terms: 0 + -34 = -34 -2x = -34 Divide each side by '-2'. x = 17 Simplifying x = 17
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