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Simplifying 7(x + 49) + 28 = 14x + -42 + 7x Reorder the terms: 7(49 + x) + 28 = 14x + -42 + 7x (49 * 7 + x * 7) + 28 = 14x + -42 + 7x (343 + 7x) + 28 = 14x + -42 + 7x Reorder the terms: 343 + 28 + 7x = 14x + -42 + 7x Combine like terms: 343 + 28 = 371 371 + 7x = 14x + -42 + 7x Reorder the terms: 371 + 7x = -42 + 14x + 7x Combine like terms: 14x + 7x = 21x 371 + 7x = -42 + 21x Solving 371 + 7x = -42 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. 371 + 7x + -21x = -42 + 21x + -21x Combine like terms: 7x + -21x = -14x 371 + -14x = -42 + 21x + -21x Combine like terms: 21x + -21x = 0 371 + -14x = -42 + 0 371 + -14x = -42 Add '-371' to each side of the equation. 371 + -371 + -14x = -42 + -371 Combine like terms: 371 + -371 = 0 0 + -14x = -42 + -371 -14x = -42 + -371 Combine like terms: -42 + -371 = -413 -14x = -413 Divide each side by '-14'. x = 29.5 Simplifying x = 29.5
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