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Simplifying 7(2x + 1) = 5 + -3x Reorder the terms: 7(1 + 2x) = 5 + -3x (1 * 7 + 2x * 7) = 5 + -3x (7 + 14x) = 5 + -3x Solving 7 + 14x = 5 + -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. 7 + 14x + 3x = 5 + -3x + 3x Combine like terms: 14x + 3x = 17x 7 + 17x = 5 + -3x + 3x Combine like terms: -3x + 3x = 0 7 + 17x = 5 + 0 7 + 17x = 5 Add '-7' to each side of the equation. 7 + -7 + 17x = 5 + -7 Combine like terms: 7 + -7 = 0 0 + 17x = 5 + -7 17x = 5 + -7 Combine like terms: 5 + -7 = -2 17x = -2 Divide each side by '17'. x = -0.1176470588 Simplifying x = -0.1176470588
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