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Simplifying 7(3x + 2) = 24x + -7 Reorder the terms: 7(2 + 3x) = 24x + -7 (2 * 7 + 3x * 7) = 24x + -7 (14 + 21x) = 24x + -7 Reorder the terms: 14 + 21x = -7 + 24x Solving 14 + 21x = -7 + 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 + 21x + -24x = -7 + 24x + -24x Combine like terms: 21x + -24x = -3x 14 + -3x = -7 + 24x + -24x Combine like terms: 24x + -24x = 0 14 + -3x = -7 + 0 14 + -3x = -7 Add '-14' to each side of the equation. 14 + -14 + -3x = -7 + -14 Combine like terms: 14 + -14 = 0 0 + -3x = -7 + -14 -3x = -7 + -14 Combine like terms: -7 + -14 = -21 -3x = -21 Divide each side by '-3'. x = 7 Simplifying x = 7
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