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Simplifying 7(3x + 1) = 24x + -2 Reorder the terms: 7(1 + 3x) = 24x + -2 (1 * 7 + 3x * 7) = 24x + -2 (7 + 21x) = 24x + -2 Reorder the terms: 7 + 21x = -2 + 24x Solving 7 + 21x = -2 + 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. 7 + 21x + -24x = -2 + 24x + -24x Combine like terms: 21x + -24x = -3x 7 + -3x = -2 + 24x + -24x Combine like terms: 24x + -24x = 0 7 + -3x = -2 + 0 7 + -3x = -2 Add '-7' to each side of the equation. 7 + -7 + -3x = -2 + -7 Combine like terms: 7 + -7 = 0 0 + -3x = -2 + -7 -3x = -2 + -7 Combine like terms: -2 + -7 = -9 -3x = -9 Divide each side by '-3'. x = 3 Simplifying x = 3
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