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Simplifying 14 = 5(x + 4) + -4(2x + -3) Reorder the terms: 14 = 5(4 + x) + -4(2x + -3) 14 = (4 * 5 + x * 5) + -4(2x + -3) 14 = (20 + 5x) + -4(2x + -3) Reorder the terms: 14 = 20 + 5x + -4(-3 + 2x) 14 = 20 + 5x + (-3 * -4 + 2x * -4) 14 = 20 + 5x + (12 + -8x) Reorder the terms: 14 = 20 + 12 + 5x + -8x Combine like terms: 20 + 12 = 32 14 = 32 + 5x + -8x Combine like terms: 5x + -8x = -3x 14 = 32 + -3x Solving 14 = 32 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 14 + 3x = 32 + -3x + 3x Combine like terms: -3x + 3x = 0 14 + 3x = 32 + 0 14 + 3x = 32 Add '-14' to each side of the equation. 14 + -14 + 3x = 32 + -14 Combine like terms: 14 + -14 = 0 0 + 3x = 32 + -14 3x = 32 + -14 Combine like terms: 32 + -14 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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