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Simplifying 7(3x + 4) = 6(x + 6) + -19 Reorder the terms: 7(4 + 3x) = 6(x + 6) + -19 (4 * 7 + 3x * 7) = 6(x + 6) + -19 (28 + 21x) = 6(x + 6) + -19 Reorder the terms: 28 + 21x = 6(6 + x) + -19 28 + 21x = (6 * 6 + x * 6) + -19 28 + 21x = (36 + 6x) + -19 Reorder the terms: 28 + 21x = 36 + -19 + 6x Combine like terms: 36 + -19 = 17 28 + 21x = 17 + 6x Solving 28 + 21x = 17 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 28 + 21x + -6x = 17 + 6x + -6x Combine like terms: 21x + -6x = 15x 28 + 15x = 17 + 6x + -6x Combine like terms: 6x + -6x = 0 28 + 15x = 17 + 0 28 + 15x = 17 Add '-28' to each side of the equation. 28 + -28 + 15x = 17 + -28 Combine like terms: 28 + -28 = 0 0 + 15x = 17 + -28 15x = 17 + -28 Combine like terms: 17 + -28 = -11 15x = -11 Divide each side by '15'. x = -0.7333333333 Simplifying x = -0.7333333333
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