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Simplifying 7(3x + 4) = -2(x + 3) Reorder the terms: 7(4 + 3x) = -2(x + 3) (4 * 7 + 3x * 7) = -2(x + 3) (28 + 21x) = -2(x + 3) Reorder the terms: 28 + 21x = -2(3 + x) 28 + 21x = (3 * -2 + x * -2) 28 + 21x = (-6 + -2x) Solving 28 + 21x = -6 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 28 + 21x + 2x = -6 + -2x + 2x Combine like terms: 21x + 2x = 23x 28 + 23x = -6 + -2x + 2x Combine like terms: -2x + 2x = 0 28 + 23x = -6 + 0 28 + 23x = -6 Add '-28' to each side of the equation. 28 + -28 + 23x = -6 + -28 Combine like terms: 28 + -28 = 0 0 + 23x = -6 + -28 23x = -6 + -28 Combine like terms: -6 + -28 = -34 23x = -34 Divide each side by '23'. x = -1.47826087 Simplifying x = -1.47826087
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