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Simplifying 7(7x + -5) + 2 = 7x + -7 Reorder the terms: 7(-5 + 7x) + 2 = 7x + -7 (-5 * 7 + 7x * 7) + 2 = 7x + -7 (-35 + 49x) + 2 = 7x + -7 Reorder the terms: -35 + 2 + 49x = 7x + -7 Combine like terms: -35 + 2 = -33 -33 + 49x = 7x + -7 Reorder the terms: -33 + 49x = -7 + 7x Solving -33 + 49x = -7 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -33 + 49x + -7x = -7 + 7x + -7x Combine like terms: 49x + -7x = 42x -33 + 42x = -7 + 7x + -7x Combine like terms: 7x + -7x = 0 -33 + 42x = -7 + 0 -33 + 42x = -7 Add '33' to each side of the equation. -33 + 33 + 42x = -7 + 33 Combine like terms: -33 + 33 = 0 0 + 42x = -7 + 33 42x = -7 + 33 Combine like terms: -7 + 33 = 26 42x = 26 Divide each side by '42'. x = 0.619047619 Simplifying x = 0.619047619
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