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Simplifying 7(x + -1) = 3x + -7 Reorder the terms: 7(-1 + x) = 3x + -7 (-1 * 7 + x * 7) = 3x + -7 (-7 + 7x) = 3x + -7 Reorder the terms: -7 + 7x = -7 + 3x Add '7' to each side of the equation. -7 + 7 + 7x = -7 + 7 + 3x Combine like terms: -7 + 7 = 0 0 + 7x = -7 + 7 + 3x 7x = -7 + 7 + 3x Combine like terms: -7 + 7 = 0 7x = 0 + 3x 7x = 3x Solving 7x = 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 7x + -3x = 3x + -3x Combine like terms: 7x + -3x = 4x 4x = 3x + -3x Combine like terms: 3x + -3x = 0 4x = 0 Divide each side by '4'. x = 0 Simplifying x = 0
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