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Simplifying 4x + 21 = 7(x + 9) Reorder the terms: 21 + 4x = 7(x + 9) Reorder the terms: 21 + 4x = 7(9 + x) 21 + 4x = (9 * 7 + x * 7) 21 + 4x = (63 + 7x) Solving 21 + 4x = 63 + 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 + 4x + -7x = 63 + 7x + -7x Combine like terms: 4x + -7x = -3x 21 + -3x = 63 + 7x + -7x Combine like terms: 7x + -7x = 0 21 + -3x = 63 + 0 21 + -3x = 63 Add '-21' to each side of the equation. 21 + -21 + -3x = 63 + -21 Combine like terms: 21 + -21 = 0 0 + -3x = 63 + -21 -3x = 63 + -21 Combine like terms: 63 + -21 = 42 -3x = 42 Divide each side by '-3'. x = -14 Simplifying x = -14
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