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Simplifying 2x + 7(3x + -5) = -7 + -5x Reorder the terms: 2x + 7(-5 + 3x) = -7 + -5x 2x + (-5 * 7 + 3x * 7) = -7 + -5x 2x + (-35 + 21x) = -7 + -5x Reorder the terms: -35 + 2x + 21x = -7 + -5x Combine like terms: 2x + 21x = 23x -35 + 23x = -7 + -5x Solving -35 + 23x = -7 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -35 + 23x + 5x = -7 + -5x + 5x Combine like terms: 23x + 5x = 28x -35 + 28x = -7 + -5x + 5x Combine like terms: -5x + 5x = 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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