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Simplifying 7(2x + -5) = (6x + -2) + x Reorder the terms: 7(-5 + 2x) = (6x + -2) + x (-5 * 7 + 2x * 7) = (6x + -2) + x (-35 + 14x) = (6x + -2) + x Reorder the terms: -35 + 14x = (-2 + 6x) + x Remove parenthesis around (-2 + 6x) -35 + 14x = -2 + 6x + x Combine like terms: 6x + x = 7x -35 + 14x = -2 + 7x Solving -35 + 14x = -2 + 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. -35 + 14x + -7x = -2 + 7x + -7x Combine like terms: 14x + -7x = 7x -35 + 7x = -2 + 7x + -7x Combine like terms: 7x + -7x = 0 -35 + 7x = -2 + 0 -35 + 7x = -2 Add '35' to each side of the equation. -35 + 35 + 7x = -2 + 35 Combine like terms: -35 + 35 = 0 0 + 7x = -2 + 35 7x = -2 + 35 Combine like terms: -2 + 35 = 33 7x = 33 Divide each side by '7'. x = 4.714285714 Simplifying x = 4.714285714
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