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Simplifying 6(x + -7) = x + -5 + 2x Reorder the terms: 6(-7 + x) = x + -5 + 2x (-7 * 6 + x * 6) = x + -5 + 2x (-42 + 6x) = x + -5 + 2x Reorder the terms: -42 + 6x = -5 + x + 2x Combine like terms: x + 2x = 3x -42 + 6x = -5 + 3x Solving -42 + 6x = -5 + 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. -42 + 6x + -3x = -5 + 3x + -3x Combine like terms: 6x + -3x = 3x -42 + 3x = -5 + 3x + -3x Combine like terms: 3x + -3x = 0 -42 + 3x = -5 + 0 -42 + 3x = -5 Add '42' to each side of the equation. -42 + 42 + 3x = -5 + 42 Combine like terms: -42 + 42 = 0 0 + 3x = -5 + 42 3x = -5 + 42 Combine like terms: -5 + 42 = 37 3x = 37 Divide each side by '3'. x = 12.33333333 Simplifying x = 12.33333333
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