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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 = -3x 200 + 5x = -3x Solving 200 + 5x = -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 200 + 5x + 3x = -3x + 3x Combine like terms: 5x + 3x = 8x 200 + 8x = -3x + 3x Combine like terms: -3x + 3x = 0 200 + 8x = 0 Add '-200' to each side of the equation. 200 + -200 + 8x = 0 + -200 Combine like terms: 200 + -200 = 0 0 + 8x = 0 + -200 8x = 0 + -200 Combine like terms: 0 + -200 = -200 8x = -200 Divide each side by '8'. x = -25 Simplifying x = -25
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