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Simplifying 126 + (x * 10) = 84 + (x * 17) Reorder the terms for easier multiplication: 126 + (10x) = 84 + (x * 17) Reorder the terms for easier multiplication: 126 + (10x) = 84 + (17x) Solving 126 + (10x) = 84 + (17x) Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '(-17x)' to each side of the equation. 126 + (10x) + (-17x) = 84 + (17x) + (-17x) Combine like terms: (10x) + (-17x) = -7x 126 + -7x = 84 + (17x) + (-17x) Combine like terms: (17x) + (-17x) = 0 126 + -7x = 84 + 0 126 + -7x = 84 Add '-126' to each side of the equation. 126 + -126 + -7x = 84 + -126 Combine like terms: 126 + -126 = 0 0 + -7x = 84 + -126 -7x = 84 + -126 Combine like terms: 84 + -126 = -42 -7x = -42 Divide each side by '-7'. x = 6 Simplifying x = 6
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