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Simplifying 7(87 + 7x) = 5(3x + 7) (87 * 7 + 7x * 7) = 5(3x + 7) (609 + 49x) = 5(3x + 7) Reorder the terms: 609 + 49x = 5(7 + 3x) 609 + 49x = (7 * 5 + 3x * 5) 609 + 49x = (35 + 15x) Solving 609 + 49x = 35 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 609 + 49x + -15x = 35 + 15x + -15x Combine like terms: 49x + -15x = 34x 609 + 34x = 35 + 15x + -15x Combine like terms: 15x + -15x = 0 609 + 34x = 35 + 0 609 + 34x = 35 Add '-609' to each side of the equation. 609 + -609 + 34x = 35 + -609 Combine like terms: 609 + -609 = 0 0 + 34x = 35 + -609 34x = 35 + -609 Combine like terms: 35 + -609 = -574 34x = -574 Divide each side by '34'. x = -16.88235294 Simplifying x = -16.88235294
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