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Simplifying 7(3x + 4) = 8(x + -3) Reorder the terms: 7(4 + 3x) = 8(x + -3) (4 * 7 + 3x * 7) = 8(x + -3) (28 + 21x) = 8(x + -3) Reorder the terms: 28 + 21x = 8(-3 + x) 28 + 21x = (-3 * 8 + x * 8) 28 + 21x = (-24 + 8x) Solving 28 + 21x = -24 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 28 + 21x + -8x = -24 + 8x + -8x Combine like terms: 21x + -8x = 13x 28 + 13x = -24 + 8x + -8x Combine like terms: 8x + -8x = 0 28 + 13x = -24 + 0 28 + 13x = -24 Add '-28' to each side of the equation. 28 + -28 + 13x = -24 + -28 Combine like terms: 28 + -28 = 0 0 + 13x = -24 + -28 13x = -24 + -28 Combine like terms: -24 + -28 = -52 13x = -52 Divide each side by '13'. x = -4 Simplifying x = -4
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