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Simplifying 9x + 21 + -1x = 7(x + 5) Reorder the terms: 21 + 9x + -1x = 7(x + 5) Combine like terms: 9x + -1x = 8x 21 + 8x = 7(x + 5) Reorder the terms: 21 + 8x = 7(5 + x) 21 + 8x = (5 * 7 + x * 7) 21 + 8x = (35 + 7x) Solving 21 + 8x = 35 + 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. 21 + 8x + -7x = 35 + 7x + -7x Combine like terms: 8x + -7x = 1x 21 + 1x = 35 + 7x + -7x Combine like terms: 7x + -7x = 0 21 + 1x = 35 + 0 21 + 1x = 35 Add '-21' to each side of the equation. 21 + -21 + 1x = 35 + -21 Combine like terms: 21 + -21 = 0 0 + 1x = 35 + -21 1x = 35 + -21 Combine like terms: 35 + -21 = 14 1x = 14 Divide each side by '1'. x = 14 Simplifying x = 14
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