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Simplifying 5x + -6 = 3(2x + -1) + 8 Reorder the terms: -6 + 5x = 3(2x + -1) + 8 Reorder the terms: -6 + 5x = 3(-1 + 2x) + 8 -6 + 5x = (-1 * 3 + 2x * 3) + 8 -6 + 5x = (-3 + 6x) + 8 Reorder the terms: -6 + 5x = -3 + 8 + 6x Combine like terms: -3 + 8 = 5 -6 + 5x = 5 + 6x Solving -6 + 5x = 5 + 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 = 5 + 6x + -6x Combine like terms: 5x + -6x = -1x -6 + -1x = 5 + 6x + -6x Combine like terms: 6x + -6x = 0 -6 + -1x = 5 + 0 -6 + -1x = 5 Add '6' to each side of the equation. -6 + 6 + -1x = 5 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = 5 + 6 -1x = 5 + 6 Combine like terms: 5 + 6 = 11 -1x = 11 Divide each side by '-1'. x = -11 Simplifying x = -11
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