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Simplifying 7(3x + 2) = 6(x + -3) + 15 Reorder the terms: 7(2 + 3x) = 6(x + -3) + 15 (2 * 7 + 3x * 7) = 6(x + -3) + 15 (14 + 21x) = 6(x + -3) + 15 Reorder the terms: 14 + 21x = 6(-3 + x) + 15 14 + 21x = (-3 * 6 + x * 6) + 15 14 + 21x = (-18 + 6x) + 15 Reorder the terms: 14 + 21x = -18 + 15 + 6x Combine like terms: -18 + 15 = -3 14 + 21x = -3 + 6x Solving 14 + 21x = -3 + 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. 14 + 21x + -6x = -3 + 6x + -6x Combine like terms: 21x + -6x = 15x 14 + 15x = -3 + 6x + -6x Combine like terms: 6x + -6x = 0 14 + 15x = -3 + 0 14 + 15x = -3 Add '-14' to each side of the equation. 14 + -14 + 15x = -3 + -14 Combine like terms: 14 + -14 = 0 0 + 15x = -3 + -14 15x = -3 + -14 Combine like terms: -3 + -14 = -17 15x = -17 Divide each side by '15'. x = -1.133333333 Simplifying x = -1.133333333
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