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Simplifying 4(x + 3) + -4(5x + -6) = 14 Reorder the terms: 4(3 + x) + -4(5x + -6) = 14 (3 * 4 + x * 4) + -4(5x + -6) = 14 (12 + 4x) + -4(5x + -6) = 14 Reorder the terms: 12 + 4x + -4(-6 + 5x) = 14 12 + 4x + (-6 * -4 + 5x * -4) = 14 12 + 4x + (24 + -20x) = 14 Reorder the terms: 12 + 24 + 4x + -20x = 14 Combine like terms: 12 + 24 = 36 36 + 4x + -20x = 14 Combine like terms: 4x + -20x = -16x 36 + -16x = 14 Solving 36 + -16x = 14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + -16x = 14 + -36 Combine like terms: 36 + -36 = 0 0 + -16x = 14 + -36 -16x = 14 + -36 Combine like terms: 14 + -36 = -22 -16x = -22 Divide each side by '-16'. x = 1.375 Simplifying x = 1.375
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