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Simplifying 5(x + 40) = 6x + 9x Reorder the terms: 5(40 + x) = 6x + 9x (40 * 5 + x * 5) = 6x + 9x (200 + 5x) = 6x + 9x Combine like terms: 6x + 9x = 15x 200 + 5x = 15x Solving 200 + 5x = 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 200 + 5x + -15x = 15x + -15x Combine like terms: 5x + -15x = -10x 200 + -10x = 15x + -15x Combine like terms: 15x + -15x = 0 200 + -10x = 0 Add '-200' to each side of the equation. 200 + -200 + -10x = 0 + -200 Combine like terms: 200 + -200 = 0 0 + -10x = 0 + -200 -10x = 0 + -200 Combine like terms: 0 + -200 = -200 -10x = -200 Divide each side by '-10'. x = 20 Simplifying x = 20
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