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Simplifying 7(3x + 1) = 8(3x + -1) Reorder the terms: 7(1 + 3x) = 8(3x + -1) (1 * 7 + 3x * 7) = 8(3x + -1) (7 + 21x) = 8(3x + -1) Reorder the terms: 7 + 21x = 8(-1 + 3x) 7 + 21x = (-1 * 8 + 3x * 8) 7 + 21x = (-8 + 24x) Solving 7 + 21x = -8 + 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 = -8 + 24x + -24x Combine like terms: 21x + -24x = -3x 7 + -3x = -8 + 24x + -24x Combine like terms: 24x + -24x = 0 7 + -3x = -8 + 0 7 + -3x = -8 Add '-7' to each side of the equation. 7 + -7 + -3x = -8 + -7 Combine like terms: 7 + -7 = 0 0 + -3x = -8 + -7 -3x = -8 + -7 Combine like terms: -8 + -7 = -15 -3x = -15 Divide each side by '-3'. x = 5 Simplifying x = 5
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