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Simplifying 7(x + -2) + -6 + 1 = 3 + -4x Reorder the terms: 7(-2 + x) + -6 + 1 = 3 + -4x (-2 * 7 + x * 7) + -6 + 1 = 3 + -4x (-14 + 7x) + -6 + 1 = 3 + -4x Reorder the terms: -14 + -6 + 1 + 7x = 3 + -4x Combine like terms: -14 + -6 = -20 -20 + 1 + 7x = 3 + -4x Combine like terms: -20 + 1 = -19 -19 + 7x = 3 + -4x Solving -19 + 7x = 3 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -19 + 7x + 4x = 3 + -4x + 4x Combine like terms: 7x + 4x = 11x -19 + 11x = 3 + -4x + 4x Combine like terms: -4x + 4x = 0 -19 + 11x = 3 + 0 -19 + 11x = 3 Add '19' to each side of the equation. -19 + 19 + 11x = 3 + 19 Combine like terms: -19 + 19 = 0 0 + 11x = 3 + 19 11x = 3 + 19 Combine like terms: 3 + 19 = 22 11x = 22 Divide each side by '11'. x = 2 Simplifying x = 2
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