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Simplifying 4(x + 4) + 5(x + 5) = 10x Reorder the terms: 4(4 + x) + 5(x + 5) = 10x (4 * 4 + x * 4) + 5(x + 5) = 10x (16 + 4x) + 5(x + 5) = 10x Reorder the terms: 16 + 4x + 5(5 + x) = 10x 16 + 4x + (5 * 5 + x * 5) = 10x 16 + 4x + (25 + 5x) = 10x Reorder the terms: 16 + 25 + 4x + 5x = 10x Combine like terms: 16 + 25 = 41 41 + 4x + 5x = 10x Combine like terms: 4x + 5x = 9x 41 + 9x = 10x Solving 41 + 9x = 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. 41 + 9x + -10x = 10x + -10x Combine like terms: 9x + -10x = -1x 41 + -1x = 10x + -10x Combine like terms: 10x + -10x = 0 41 + -1x = 0 Add '-41' to each side of the equation. 41 + -41 + -1x = 0 + -41 Combine like terms: 41 + -41 = 0 0 + -1x = 0 + -41 -1x = 0 + -41 Combine like terms: 0 + -41 = -41 -1x = -41 Divide each side by '-1'. x = 41 Simplifying x = 41
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