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Simplifying 7x + -1(2 + x) = -6 + 4x + 3 7x + (2 * -1 + x * -1) = -6 + 4x + 3 7x + (-2 + -1x) = -6 + 4x + 3 Reorder the terms: -2 + 7x + -1x = -6 + 4x + 3 Combine like terms: 7x + -1x = 6x -2 + 6x = -6 + 4x + 3 Reorder the terms: -2 + 6x = -6 + 3 + 4x Combine like terms: -6 + 3 = -3 -2 + 6x = -3 + 4x Solving -2 + 6x = -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. -2 + 6x + -4x = -3 + 4x + -4x Combine like terms: 6x + -4x = 2x -2 + 2x = -3 + 4x + -4x Combine like terms: 4x + -4x = 0 -2 + 2x = -3 + 0 -2 + 2x = -3 Add '2' to each side of the equation. -2 + 2 + 2x = -3 + 2 Combine like terms: -2 + 2 = 0 0 + 2x = -3 + 2 2x = -3 + 2 Combine like terms: -3 + 2 = -1 2x = -1 Divide each side by '2'. x = -0.5 Simplifying x = -0.5
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