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Simplifying 2(x + -3) + -1(x + 8) = 5x + -6 Reorder the terms: 2(-3 + x) + -1(x + 8) = 5x + -6 (-3 * 2 + x * 2) + -1(x + 8) = 5x + -6 (-6 + 2x) + -1(x + 8) = 5x + -6 Reorder the terms: -6 + 2x + -1(8 + x) = 5x + -6 -6 + 2x + (8 * -1 + x * -1) = 5x + -6 -6 + 2x + (-8 + -1x) = 5x + -6 Reorder the terms: -6 + -8 + 2x + -1x = 5x + -6 Combine like terms: -6 + -8 = -14 -14 + 2x + -1x = 5x + -6 Combine like terms: 2x + -1x = 1x -14 + 1x = 5x + -6 Reorder the terms: -14 + 1x = -6 + 5x Solving -14 + 1x = -6 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -14 + 1x + -5x = -6 + 5x + -5x Combine like terms: 1x + -5x = -4x -14 + -4x = -6 + 5x + -5x Combine like terms: 5x + -5x = 0 -14 + -4x = -6 + 0 -14 + -4x = -6 Add '14' to each side of the equation. -14 + 14 + -4x = -6 + 14 Combine like terms: -14 + 14 = 0 0 + -4x = -6 + 14 -4x = -6 + 14 Combine like terms: -6 + 14 = 8 -4x = 8 Divide each side by '-4'. x = -2 Simplifying x = -2
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