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Simplifying 7(2x + 7) = 3 + -3(x + -4) Reorder the terms: 7(7 + 2x) = 3 + -3(x + -4) (7 * 7 + 2x * 7) = 3 + -3(x + -4) (49 + 14x) = 3 + -3(x + -4) Reorder the terms: 49 + 14x = 3 + -3(-4 + x) 49 + 14x = 3 + (-4 * -3 + x * -3) 49 + 14x = 3 + (12 + -3x) Combine like terms: 3 + 12 = 15 49 + 14x = 15 + -3x Solving 49 + 14x = 15 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 49 + 14x + 3x = 15 + -3x + 3x Combine like terms: 14x + 3x = 17x 49 + 17x = 15 + -3x + 3x Combine like terms: -3x + 3x = 0 49 + 17x = 15 + 0 49 + 17x = 15 Add '-49' to each side of the equation. 49 + -49 + 17x = 15 + -49 Combine like terms: 49 + -49 = 0 0 + 17x = 15 + -49 17x = 15 + -49 Combine like terms: 15 + -49 = -34 17x = -34 Divide each side by '17'. x = -2 Simplifying x = -2
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