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Simplifying 7(2x + 5) = 8(x + 3) + -14 Reorder the terms: 7(5 + 2x) = 8(x + 3) + -14 (5 * 7 + 2x * 7) = 8(x + 3) + -14 (35 + 14x) = 8(x + 3) + -14 Reorder the terms: 35 + 14x = 8(3 + x) + -14 35 + 14x = (3 * 8 + x * 8) + -14 35 + 14x = (24 + 8x) + -14 Reorder the terms: 35 + 14x = 24 + -14 + 8x Combine like terms: 24 + -14 = 10 35 + 14x = 10 + 8x Solving 35 + 14x = 10 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 35 + 14x + -8x = 10 + 8x + -8x Combine like terms: 14x + -8x = 6x 35 + 6x = 10 + 8x + -8x Combine like terms: 8x + -8x = 0 35 + 6x = 10 + 0 35 + 6x = 10 Add '-35' to each side of the equation. 35 + -35 + 6x = 10 + -35 Combine like terms: 35 + -35 = 0 0 + 6x = 10 + -35 6x = 10 + -35 Combine like terms: 10 + -35 = -25 6x = -25 Divide each side by '6'. x = -4.166666667 Simplifying x = -4.166666667
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