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Simplifying 7(x + -6) = 3x + -2 Reorder the terms: 7(-6 + x) = 3x + -2 (-6 * 7 + x * 7) = 3x + -2 (-42 + 7x) = 3x + -2 Reorder the terms: -42 + 7x = -2 + 3x Solving -42 + 7x = -2 + 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 + 7x + -3x = -2 + 3x + -3x Combine like terms: 7x + -3x = 4x -42 + 4x = -2 + 3x + -3x Combine like terms: 3x + -3x = 0 -42 + 4x = -2 + 0 -42 + 4x = -2 Add '42' to each side of the equation. -42 + 42 + 4x = -2 + 42 Combine like terms: -42 + 42 = 0 0 + 4x = -2 + 42 4x = -2 + 42 Combine like terms: -2 + 42 = 40 4x = 40 Divide each side by '4'. x = 10 Simplifying x = 10
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