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Simplifying 2x + -39 = 4(2x + -5) + -1 Reorder the terms: -39 + 2x = 4(2x + -5) + -1 Reorder the terms: -39 + 2x = 4(-5 + 2x) + -1 -39 + 2x = (-5 * 4 + 2x * 4) + -1 -39 + 2x = (-20 + 8x) + -1 Reorder the terms: -39 + 2x = -20 + -1 + 8x Combine like terms: -20 + -1 = -21 -39 + 2x = -21 + 8x Solving -39 + 2x = -21 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -39 + 2x + -8x = -21 + 8x + -8x Combine like terms: 2x + -8x = -6x -39 + -6x = -21 + 8x + -8x Combine like terms: 8x + -8x = 0 -39 + -6x = -21 + 0 -39 + -6x = -21 Add '39' to each side of the equation. -39 + 39 + -6x = -21 + 39 Combine like terms: -39 + 39 = 0 0 + -6x = -21 + 39 -6x = -21 + 39 Combine like terms: -21 + 39 = 18 -6x = 18 Divide each side by '-6'. x = -3 Simplifying x = -3
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