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Simplifying 5x + -34 = -6(3x + -2) Reorder the terms: -34 + 5x = -6(3x + -2) Reorder the terms: -34 + 5x = -6(-2 + 3x) -34 + 5x = (-2 * -6 + 3x * -6) -34 + 5x = (12 + -18x) Solving -34 + 5x = 12 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. -34 + 5x + 18x = 12 + -18x + 18x Combine like terms: 5x + 18x = 23x -34 + 23x = 12 + -18x + 18x Combine like terms: -18x + 18x = 0 -34 + 23x = 12 + 0 -34 + 23x = 12 Add '34' to each side of the equation. -34 + 34 + 23x = 12 + 34 Combine like terms: -34 + 34 = 0 0 + 23x = 12 + 34 23x = 12 + 34 Combine like terms: 12 + 34 = 46 23x = 46 Divide each side by '23'. x = 2 Simplifying x = 2
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