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Simplifying 2x + 3(x + -2) = 6x + 8 Reorder the terms: 2x + 3(-2 + x) = 6x + 8 2x + (-2 * 3 + x * 3) = 6x + 8 2x + (-6 + 3x) = 6x + 8 Reorder the terms: -6 + 2x + 3x = 6x + 8 Combine like terms: 2x + 3x = 5x -6 + 5x = 6x + 8 Reorder the terms: -6 + 5x = 8 + 6x Solving -6 + 5x = 8 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -6 + 5x + -6x = 8 + 6x + -6x Combine like terms: 5x + -6x = -1x -6 + -1x = 8 + 6x + -6x Combine like terms: 6x + -6x = 0 -6 + -1x = 8 + 0 -6 + -1x = 8 Add '6' to each side of the equation. -6 + 6 + -1x = 8 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = 8 + 6 -1x = 8 + 6 Combine like terms: 8 + 6 = 14 -1x = 14 Divide each side by '-1'. x = -14 Simplifying x = -14
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