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Simplifying 316 = 2(7x + 7) + 2(4x + -3) Reorder the terms: 316 = 2(7 + 7x) + 2(4x + -3) 316 = (7 * 2 + 7x * 2) + 2(4x + -3) 316 = (14 + 14x) + 2(4x + -3) Reorder the terms: 316 = 14 + 14x + 2(-3 + 4x) 316 = 14 + 14x + (-3 * 2 + 4x * 2) 316 = 14 + 14x + (-6 + 8x) Reorder the terms: 316 = 14 + -6 + 14x + 8x Combine like terms: 14 + -6 = 8 316 = 8 + 14x + 8x Combine like terms: 14x + 8x = 22x 316 = 8 + 22x Solving 316 = 8 + 22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22x' to each side of the equation. 316 + -22x = 8 + 22x + -22x Combine like terms: 22x + -22x = 0 316 + -22x = 8 + 0 316 + -22x = 8 Add '-316' to each side of the equation. 316 + -316 + -22x = 8 + -316 Combine like terms: 316 + -316 = 0 0 + -22x = 8 + -316 -22x = 8 + -316 Combine like terms: 8 + -316 = -308 -22x = -308 Divide each side by '-22'. x = 14 Simplifying x = 14
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