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Simplifying x + 5 + 2(3x + -2) = 8 Reorder the terms: x + 5 + 2(-2 + 3x) = 8 x + 5 + (-2 * 2 + 3x * 2) = 8 x + 5 + (-4 + 6x) = 8 Reorder the terms: 5 + -4 + x + 6x = 8 Combine like terms: 5 + -4 = 1 1 + x + 6x = 8 Combine like terms: x + 6x = 7x 1 + 7x = 8 Solving 1 + 7x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 7x = 8 + -1 Combine like terms: 1 + -1 = 0 0 + 7x = 8 + -1 7x = 8 + -1 Combine like terms: 8 + -1 = 7 7x = 7 Divide each side by '7'. x = 1 Simplifying x = 1
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