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Simplifying 7(4x + -7) = (6x + 17) Reorder the terms: 7(-7 + 4x) = (6x + 17) (-7 * 7 + 4x * 7) = (6x + 17) (-49 + 28x) = (6x + 17) Reorder the terms: -49 + 28x = (17 + 6x) Remove parenthesis around (17 + 6x) -49 + 28x = 17 + 6x Solving -49 + 28x = 17 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -49 + 28x + -6x = 17 + 6x + -6x Combine like terms: 28x + -6x = 22x -49 + 22x = 17 + 6x + -6x Combine like terms: 6x + -6x = 0 -49 + 22x = 17 + 0 -49 + 22x = 17 Add '49' to each side of the equation. -49 + 49 + 22x = 17 + 49 Combine like terms: -49 + 49 = 0 0 + 22x = 17 + 49 22x = 17 + 49 Combine like terms: 17 + 49 = 66 22x = 66 Divide each side by '22'. x = 3 Simplifying x = 3
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