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Simplifying 14 = 2(8 + 4x) + -6(3x + -3) 14 = (8 * 2 + 4x * 2) + -6(3x + -3) 14 = (16 + 8x) + -6(3x + -3) Reorder the terms: 14 = 16 + 8x + -6(-3 + 3x) 14 = 16 + 8x + (-3 * -6 + 3x * -6) 14 = 16 + 8x + (18 + -18x) Reorder the terms: 14 = 16 + 18 + 8x + -18x Combine like terms: 16 + 18 = 34 14 = 34 + 8x + -18x Combine like terms: 8x + -18x = -10x 14 = 34 + -10x Solving 14 = 34 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 14 + 10x = 34 + -10x + 10x Combine like terms: -10x + 10x = 0 14 + 10x = 34 + 0 14 + 10x = 34 Add '-14' to each side of the equation. 14 + -14 + 10x = 34 + -14 Combine like terms: 14 + -14 = 0 0 + 10x = 34 + -14 10x = 34 + -14 Combine like terms: 34 + -14 = 20 10x = 20 Divide each side by '10'. x = 2 Simplifying x = 2
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