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Simplifying 7(3x + 4) = 5(x + -3) + -7x Reorder the terms: 7(4 + 3x) = 5(x + -3) + -7x (4 * 7 + 3x * 7) = 5(x + -3) + -7x (28 + 21x) = 5(x + -3) + -7x Reorder the terms: 28 + 21x = 5(-3 + x) + -7x 28 + 21x = (-3 * 5 + x * 5) + -7x 28 + 21x = (-15 + 5x) + -7x Combine like terms: 5x + -7x = -2x 28 + 21x = -15 + -2x Solving 28 + 21x = -15 + -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 = -15 + -2x + 2x Combine like terms: 21x + 2x = 23x 28 + 23x = -15 + -2x + 2x Combine like terms: -2x + 2x = 0 28 + 23x = -15 + 0 28 + 23x = -15 Add '-28' to each side of the equation. 28 + -28 + 23x = -15 + -28 Combine like terms: 28 + -28 = 0 0 + 23x = -15 + -28 23x = -15 + -28 Combine like terms: -15 + -28 = -43 23x = -43 Divide each side by '23'. x = -1.869565217 Simplifying x = -1.869565217
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