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Simplifying 2(3x + -8) + 5 = -6x + 21 Reorder the terms: 2(-8 + 3x) + 5 = -6x + 21 (-8 * 2 + 3x * 2) + 5 = -6x + 21 (-16 + 6x) + 5 = -6x + 21 Reorder the terms: -16 + 5 + 6x = -6x + 21 Combine like terms: -16 + 5 = -11 -11 + 6x = -6x + 21 Reorder the terms: -11 + 6x = 21 + -6x Solving -11 + 6x = 21 + -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. -11 + 6x + 6x = 21 + -6x + 6x Combine like terms: 6x + 6x = 12x -11 + 12x = 21 + -6x + 6x Combine like terms: -6x + 6x = 0 -11 + 12x = 21 + 0 -11 + 12x = 21 Add '11' to each side of the equation. -11 + 11 + 12x = 21 + 11 Combine like terms: -11 + 11 = 0 0 + 12x = 21 + 11 12x = 21 + 11 Combine like terms: 21 + 11 = 32 12x = 32 Divide each side by '12'. x = 2.666666667 Simplifying x = 2.666666667
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