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Simplifying 7x + -3(2 + x) = 8 + -3x 7x + (2 * -3 + x * -3) = 8 + -3x 7x + (-6 + -3x) = 8 + -3x Reorder the terms: -6 + 7x + -3x = 8 + -3x Combine like terms: 7x + -3x = 4x -6 + 4x = 8 + -3x Solving -6 + 4x = 8 + -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. -6 + 4x + 3x = 8 + -3x + 3x Combine like terms: 4x + 3x = 7x -6 + 7x = 8 + -3x + 3x Combine like terms: -3x + 3x = 0 -6 + 7x = 8 + 0 -6 + 7x = 8 Add '6' to each side of the equation. -6 + 6 + 7x = 8 + 6 Combine like terms: -6 + 6 = 0 0 + 7x = 8 + 6 7x = 8 + 6 Combine like terms: 8 + 6 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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