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Simplifying 7 + 7(2x + 5) = 4 + 3(4x + 8) Reorder the terms: 7 + 7(5 + 2x) = 4 + 3(4x + 8) 7 + (5 * 7 + 2x * 7) = 4 + 3(4x + 8) 7 + (35 + 14x) = 4 + 3(4x + 8) Combine like terms: 7 + 35 = 42 42 + 14x = 4 + 3(4x + 8) Reorder the terms: 42 + 14x = 4 + 3(8 + 4x) 42 + 14x = 4 + (8 * 3 + 4x * 3) 42 + 14x = 4 + (24 + 12x) Combine like terms: 4 + 24 = 28 42 + 14x = 28 + 12x Solving 42 + 14x = 28 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 42 + 14x + -12x = 28 + 12x + -12x Combine like terms: 14x + -12x = 2x 42 + 2x = 28 + 12x + -12x Combine like terms: 12x + -12x = 0 42 + 2x = 28 + 0 42 + 2x = 28 Add '-42' to each side of the equation. 42 + -42 + 2x = 28 + -42 Combine like terms: 42 + -42 = 0 0 + 2x = 28 + -42 2x = 28 + -42 Combine like terms: 28 + -42 = -14 2x = -14 Divide each side by '2'. x = -7 Simplifying x = -7
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