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Simplifying 3x + 21 + -7 = 6(4x + 7) Reorder the terms: 21 + -7 + 3x = 6(4x + 7) Combine like terms: 21 + -7 = 14 14 + 3x = 6(4x + 7) Reorder the terms: 14 + 3x = 6(7 + 4x) 14 + 3x = (7 * 6 + 4x * 6) 14 + 3x = (42 + 24x) Solving 14 + 3x = 42 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 14 + 3x + -24x = 42 + 24x + -24x Combine like terms: 3x + -24x = -21x 14 + -21x = 42 + 24x + -24x Combine like terms: 24x + -24x = 0 14 + -21x = 42 + 0 14 + -21x = 42 Add '-14' to each side of the equation. 14 + -14 + -21x = 42 + -14 Combine like terms: 14 + -14 = 0 0 + -21x = 42 + -14 -21x = 42 + -14 Combine like terms: 42 + -14 = 28 -21x = 28 Divide each side by '-21'. x = -1.333333333 Simplifying x = -1.333333333
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