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Simplifying 9(50) + 6x = 7(50 + x) Multiply 9 * 50 450 + 6x = 7(50 + x) 450 + 6x = (50 * 7 + x * 7) 450 + 6x = (350 + 7x) Solving 450 + 6x = 350 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 450 + 6x + -7x = 350 + 7x + -7x Combine like terms: 6x + -7x = -1x 450 + -1x = 350 + 7x + -7x Combine like terms: 7x + -7x = 0 450 + -1x = 350 + 0 450 + -1x = 350 Add '-450' to each side of the equation. 450 + -450 + -1x = 350 + -450 Combine like terms: 450 + -450 = 0 0 + -1x = 350 + -450 -1x = 350 + -450 Combine like terms: 350 + -450 = -100 -1x = -100 Divide each side by '-1'. x = 100 Simplifying x = 100
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