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Simplifying 6x + 7(2x + -5) = -7 + -8x Reorder the terms: 6x + 7(-5 + 2x) = -7 + -8x 6x + (-5 * 7 + 2x * 7) = -7 + -8x 6x + (-35 + 14x) = -7 + -8x Reorder the terms: -35 + 6x + 14x = -7 + -8x Combine like terms: 6x + 14x = 20x -35 + 20x = -7 + -8x Solving -35 + 20x = -7 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -35 + 20x + 8x = -7 + -8x + 8x Combine like terms: 20x + 8x = 28x -35 + 28x = -7 + -8x + 8x Combine like terms: -8x + 8x = 0 -35 + 28x = -7 + 0 -35 + 28x = -7 Add '35' to each side of the equation. -35 + 35 + 28x = -7 + 35 Combine like terms: -35 + 35 = 0 0 + 28x = -7 + 35 28x = -7 + 35 Combine like terms: -7 + 35 = 28 28x = 28 Divide each side by '28'. x = 1 Simplifying x = 1
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