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Simplifying 7(x + -6) = (x + -7 + x) Reorder the terms: 7(-6 + x) = (x + -7 + x) (-6 * 7 + x * 7) = (x + -7 + x) (-42 + 7x) = (x + -7 + x) Reorder the terms: -42 + 7x = (-7 + x + x) Combine like terms: x + x = 2x -42 + 7x = (-7 + 2x) Remove parenthesis around (-7 + 2x) -42 + 7x = -7 + 2x Solving -42 + 7x = -7 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -42 + 7x + -2x = -7 + 2x + -2x Combine like terms: 7x + -2x = 5x -42 + 5x = -7 + 2x + -2x Combine like terms: 2x + -2x = 0 -42 + 5x = -7 + 0 -42 + 5x = -7 Add '42' to each side of the equation. -42 + 42 + 5x = -7 + 42 Combine like terms: -42 + 42 = 0 0 + 5x = -7 + 42 5x = -7 + 42 Combine like terms: -7 + 42 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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