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Simplifying 7(2x + 3) = 6(x + -4) + -2 Reorder the terms: 7(3 + 2x) = 6(x + -4) + -2 (3 * 7 + 2x * 7) = 6(x + -4) + -2 (21 + 14x) = 6(x + -4) + -2 Reorder the terms: 21 + 14x = 6(-4 + x) + -2 21 + 14x = (-4 * 6 + x * 6) + -2 21 + 14x = (-24 + 6x) + -2 Reorder the terms: 21 + 14x = -24 + -2 + 6x Combine like terms: -24 + -2 = -26 21 + 14x = -26 + 6x Solving 21 + 14x = -26 + 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. 21 + 14x + -6x = -26 + 6x + -6x Combine like terms: 14x + -6x = 8x 21 + 8x = -26 + 6x + -6x Combine like terms: 6x + -6x = 0 21 + 8x = -26 + 0 21 + 8x = -26 Add '-21' to each side of the equation. 21 + -21 + 8x = -26 + -21 Combine like terms: 21 + -21 = 0 0 + 8x = -26 + -21 8x = -26 + -21 Combine like terms: -26 + -21 = -47 8x = -47 Divide each side by '8'. x = -5.875 Simplifying x = -5.875
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