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Simplifying 7(2x + -5) = 8 + 7x + -15 Reorder the terms: 7(-5 + 2x) = 8 + 7x + -15 (-5 * 7 + 2x * 7) = 8 + 7x + -15 (-35 + 14x) = 8 + 7x + -15 Reorder the terms: -35 + 14x = 8 + -15 + 7x Combine like terms: 8 + -15 = -7 -35 + 14x = -7 + 7x Solving -35 + 14x = -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. -35 + 14x + -7x = -7 + 7x + -7x Combine like terms: 14x + -7x = 7x -35 + 7x = -7 + 7x + -7x Combine like terms: 7x + -7x = 0 -35 + 7x = -7 + 0 -35 + 7x = -7 Add '35' to each side of the equation. -35 + 35 + 7x = -7 + 35 Combine like terms: -35 + 35 = 0 0 + 7x = -7 + 35 7x = -7 + 35 Combine like terms: -7 + 35 = 28 7x = 28 Divide each side by '7'. x = 4 Simplifying x = 4
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