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Simplifying 5(4x + 7) + 7x = -2x + 35 Reorder the terms: 5(7 + 4x) + 7x = -2x + 35 (7 * 5 + 4x * 5) + 7x = -2x + 35 (35 + 20x) + 7x = -2x + 35 Combine like terms: 20x + 7x = 27x 35 + 27x = -2x + 35 Reorder the terms: 35 + 27x = 35 + -2x Add '-35' to each side of the equation. 35 + -35 + 27x = 35 + -35 + -2x Combine like terms: 35 + -35 = 0 0 + 27x = 35 + -35 + -2x 27x = 35 + -35 + -2x Combine like terms: 35 + -35 = 0 27x = 0 + -2x 27x = -2x Solving 27x = -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. 27x + 2x = -2x + 2x Combine like terms: 27x + 2x = 29x 29x = -2x + 2x Combine like terms: -2x + 2x = 0 29x = 0 Divide each side by '29'. x = 0 Simplifying x = 0
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