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Simplifying 2x + 3(x + -8) + -2 = x + -2 Reorder the terms: 2x + 3(-8 + x) + -2 = x + -2 2x + (-8 * 3 + x * 3) + -2 = x + -2 2x + (-24 + 3x) + -2 = x + -2 Reorder the terms: -24 + -2 + 2x + 3x = x + -2 Combine like terms: -24 + -2 = -26 -26 + 2x + 3x = x + -2 Combine like terms: 2x + 3x = 5x -26 + 5x = x + -2 Reorder the terms: -26 + 5x = -2 + x Solving -26 + 5x = -2 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -26 + 5x + -1x = -2 + x + -1x Combine like terms: 5x + -1x = 4x -26 + 4x = -2 + x + -1x Combine like terms: x + -1x = 0 -26 + 4x = -2 + 0 -26 + 4x = -2 Add '26' to each side of the equation. -26 + 26 + 4x = -2 + 26 Combine like terms: -26 + 26 = 0 0 + 4x = -2 + 26 4x = -2 + 26 Combine like terms: -2 + 26 = 24 4x = 24 Divide each side by '4'. x = 6 Simplifying x = 6
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