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Simplifying 7(3x + 4) = 4(x + 3) + -18 Reorder the terms: 7(4 + 3x) = 4(x + 3) + -18 (4 * 7 + 3x * 7) = 4(x + 3) + -18 (28 + 21x) = 4(x + 3) + -18 Reorder the terms: 28 + 21x = 4(3 + x) + -18 28 + 21x = (3 * 4 + x * 4) + -18 28 + 21x = (12 + 4x) + -18 Reorder the terms: 28 + 21x = 12 + -18 + 4x Combine like terms: 12 + -18 = -6 28 + 21x = -6 + 4x Solving 28 + 21x = -6 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 28 + 21x + -4x = -6 + 4x + -4x Combine like terms: 21x + -4x = 17x 28 + 17x = -6 + 4x + -4x Combine like terms: 4x + -4x = 0 28 + 17x = -6 + 0 28 + 17x = -6 Add '-28' to each side of the equation. 28 + -28 + 17x = -6 + -28 Combine like terms: 28 + -28 = 0 0 + 17x = -6 + -28 17x = -6 + -28 Combine like terms: -6 + -28 = -34 17x = -34 Divide each side by '17'. x = -2 Simplifying x = -2
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