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Simplifying 3(6 + -4x + -2x) + 8(3x + 4) = 14 Combine like terms: -4x + -2x = -6x 3(6 + -6x) + 8(3x + 4) = 14 (6 * 3 + -6x * 3) + 8(3x + 4) = 14 (18 + -18x) + 8(3x + 4) = 14 Reorder the terms: 18 + -18x + 8(4 + 3x) = 14 18 + -18x + (4 * 8 + 3x * 8) = 14 18 + -18x + (32 + 24x) = 14 Reorder the terms: 18 + 32 + -18x + 24x = 14 Combine like terms: 18 + 32 = 50 50 + -18x + 24x = 14 Combine like terms: -18x + 24x = 6x 50 + 6x = 14 Solving 50 + 6x = 14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + 6x = 14 + -50 Combine like terms: 50 + -50 = 0 0 + 6x = 14 + -50 6x = 14 + -50 Combine like terms: 14 + -50 = -36 6x = -36 Divide each side by '6'. x = -6 Simplifying x = -6
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