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Simplifying -4 + 8(2x + 5) = 2(7x + 4) Reorder the terms: -4 + 8(5 + 2x) = 2(7x + 4) -4 + (5 * 8 + 2x * 8) = 2(7x + 4) -4 + (40 + 16x) = 2(7x + 4) Combine like terms: -4 + 40 = 36 36 + 16x = 2(7x + 4) Reorder the terms: 36 + 16x = 2(4 + 7x) 36 + 16x = (4 * 2 + 7x * 2) 36 + 16x = (8 + 14x) Solving 36 + 16x = 8 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 36 + 16x + -14x = 8 + 14x + -14x Combine like terms: 16x + -14x = 2x 36 + 2x = 8 + 14x + -14x Combine like terms: 14x + -14x = 0 36 + 2x = 8 + 0 36 + 2x = 8 Add '-36' to each side of the equation. 36 + -36 + 2x = 8 + -36 Combine like terms: 36 + -36 = 0 0 + 2x = 8 + -36 2x = 8 + -36 Combine like terms: 8 + -36 = -28 2x = -28 Divide each side by '2'. x = -14 Simplifying x = -14
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