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Simplifying 8(5 + x) = 10x (5 * 8 + x * 8) = 10x (40 + 8x) = 10x Solving 40 + 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. 40 + 8x + -10x = 10x + -10x Combine like terms: 8x + -10x = -2x 40 + -2x = 10x + -10x Combine like terms: 10x + -10x = 0 40 + -2x = 0 Add '-40' to each side of the equation. 40 + -40 + -2x = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -2x = 0 + -40 -2x = 0 + -40 Combine like terms: 0 + -40 = -40 -2x = -40 Divide each side by '-2'. x = 20 Simplifying x = 20
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