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Simplifying 3(x + 8) + 2(x + -6) = 14 Reorder the terms: 3(8 + x) + 2(x + -6) = 14 (8 * 3 + x * 3) + 2(x + -6) = 14 (24 + 3x) + 2(x + -6) = 14 Reorder the terms: 24 + 3x + 2(-6 + x) = 14 24 + 3x + (-6 * 2 + x * 2) = 14 24 + 3x + (-12 + 2x) = 14 Reorder the terms: 24 + -12 + 3x + 2x = 14 Combine like terms: 24 + -12 = 12 12 + 3x + 2x = 14 Combine like terms: 3x + 2x = 5x 12 + 5x = 14 Solving 12 + 5x = 14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 5x = 14 + -12 Combine like terms: 12 + -12 = 0 0 + 5x = 14 + -12 5x = 14 + -12 Combine like terms: 14 + -12 = 2 5x = 2 Divide each side by '5'. x = 0.4 Simplifying x = 0.4
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