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Simplifying 7x + -2(3x + 1) = 8 + -2x Reorder the terms: 7x + -2(1 + 3x) = 8 + -2x 7x + (1 * -2 + 3x * -2) = 8 + -2x 7x + (-2 + -6x) = 8 + -2x Reorder the terms: -2 + 7x + -6x = 8 + -2x Combine like terms: 7x + -6x = 1x -2 + 1x = 8 + -2x Solving -2 + 1x = 8 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -2 + 1x + 2x = 8 + -2x + 2x Combine like terms: 1x + 2x = 3x -2 + 3x = 8 + -2x + 2x Combine like terms: -2x + 2x = 0 -2 + 3x = 8 + 0 -2 + 3x = 8 Add '2' to each side of the equation. -2 + 2 + 3x = 8 + 2 Combine like terms: -2 + 2 = 0 0 + 3x = 8 + 2 3x = 8 + 2 Combine like terms: 8 + 2 = 10 3x = 10 Divide each side by '3'. x = 3.333333333 Simplifying x = 3.333333333
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