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Simplifying x + -7 = -5(x + -7) Reorder the terms: -7 + x = -5(x + -7) Reorder the terms: -7 + x = -5(-7 + x) -7 + x = (-7 * -5 + x * -5) -7 + x = (35 + -5x) Solving -7 + x = 35 + -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. -7 + x + 5x = 35 + -5x + 5x Combine like terms: x + 5x = 6x -7 + 6x = 35 + -5x + 5x Combine like terms: -5x + 5x = 0 -7 + 6x = 35 + 0 -7 + 6x = 35 Add '7' to each side of the equation. -7 + 7 + 6x = 35 + 7 Combine like terms: -7 + 7 = 0 0 + 6x = 35 + 7 6x = 35 + 7 Combine like terms: 35 + 7 = 42 6x = 42 Divide each side by '6'. x = 7 Simplifying x = 7
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