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Simplifying 3(2x + 21) = 7x + 17 Reorder the terms: 3(21 + 2x) = 7x + 17 (21 * 3 + 2x * 3) = 7x + 17 (63 + 6x) = 7x + 17 Reorder the terms: 63 + 6x = 17 + 7x Solving 63 + 6x = 17 + 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. 63 + 6x + -7x = 17 + 7x + -7x Combine like terms: 6x + -7x = -1x 63 + -1x = 17 + 7x + -7x Combine like terms: 7x + -7x = 0 63 + -1x = 17 + 0 63 + -1x = 17 Add '-63' to each side of the equation. 63 + -63 + -1x = 17 + -63 Combine like terms: 63 + -63 = 0 0 + -1x = 17 + -63 -1x = 17 + -63 Combine like terms: 17 + -63 = -46 -1x = -46 Divide each side by '-1'. x = 46 Simplifying x = 46
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