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Simplifying 7(2x + 1) = 5x + -7x Reorder the terms: 7(1 + 2x) = 5x + -7x (1 * 7 + 2x * 7) = 5x + -7x (7 + 14x) = 5x + -7x Combine like terms: 5x + -7x = -2x 7 + 14x = -2x Solving 7 + 14x = -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 7 + 14x + 2x = -2x + 2x Combine like terms: 14x + 2x = 16x 7 + 16x = -2x + 2x Combine like terms: -2x + 2x = 0 7 + 16x = 0 Add '-7' to each side of the equation. 7 + -7 + 16x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 16x = 0 + -7 16x = 0 + -7 Combine like terms: 0 + -7 = -7 16x = -7 Divide each side by '16'. x = -0.4375 Simplifying x = -0.4375
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