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Simplifying 450 + 6x = 8(50 + x) 450 + 6x = (50 * 8 + x * 8) 450 + 6x = (400 + 8x) Solving 450 + 6x = 400 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 450 + 6x + -8x = 400 + 8x + -8x Combine like terms: 6x + -8x = -2x 450 + -2x = 400 + 8x + -8x Combine like terms: 8x + -8x = 0 450 + -2x = 400 + 0 450 + -2x = 400 Add '-450' to each side of the equation. 450 + -450 + -2x = 400 + -450 Combine like terms: 450 + -450 = 0 0 + -2x = 400 + -450 -2x = 400 + -450 Combine like terms: 400 + -450 = -50 -2x = -50 Divide each side by '-2'. x = 25 Simplifying x = 25
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