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Simplifying 21 + 7x = 4(4x + 1) + -1 Reorder the terms: 21 + 7x = 4(1 + 4x) + -1 21 + 7x = (1 * 4 + 4x * 4) + -1 21 + 7x = (4 + 16x) + -1 Reorder the terms: 21 + 7x = 4 + -1 + 16x Combine like terms: 4 + -1 = 3 21 + 7x = 3 + 16x Solving 21 + 7x = 3 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 21 + 7x + -16x = 3 + 16x + -16x Combine like terms: 7x + -16x = -9x 21 + -9x = 3 + 16x + -16x Combine like terms: 16x + -16x = 0 21 + -9x = 3 + 0 21 + -9x = 3 Add '-21' to each side of the equation. 21 + -21 + -9x = 3 + -21 Combine like terms: 21 + -21 = 0 0 + -9x = 3 + -21 -9x = 3 + -21 Combine like terms: 3 + -21 = -18 -9x = -18 Divide each side by '-9'. x = 2 Simplifying x = 2
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