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Simplifying 3(x + 8) + -2(3x + 4) = -2 Reorder the terms: 3(8 + x) + -2(3x + 4) = -2 (8 * 3 + x * 3) + -2(3x + 4) = -2 (24 + 3x) + -2(3x + 4) = -2 Reorder the terms: 24 + 3x + -2(4 + 3x) = -2 24 + 3x + (4 * -2 + 3x * -2) = -2 24 + 3x + (-8 + -6x) = -2 Reorder the terms: 24 + -8 + 3x + -6x = -2 Combine like terms: 24 + -8 = 16 16 + 3x + -6x = -2 Combine like terms: 3x + -6x = -3x 16 + -3x = -2 Solving 16 + -3x = -2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -3x = -2 + -16 Combine like terms: 16 + -16 = 0 0 + -3x = -2 + -16 -3x = -2 + -16 Combine like terms: -2 + -16 = -18 -3x = -18 Divide each side by '-3'. x = 6 Simplifying x = 6
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