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Simplifying -34 + 2x = 8 + 3(-6 + 2x) -34 + 2x = 8 + (-6 * 3 + 2x * 3) -34 + 2x = 8 + (-18 + 6x) Combine like terms: 8 + -18 = -10 -34 + 2x = -10 + 6x Solving -34 + 2x = -10 + 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. -34 + 2x + -6x = -10 + 6x + -6x Combine like terms: 2x + -6x = -4x -34 + -4x = -10 + 6x + -6x Combine like terms: 6x + -6x = 0 -34 + -4x = -10 + 0 -34 + -4x = -10 Add '34' to each side of the equation. -34 + 34 + -4x = -10 + 34 Combine like terms: -34 + 34 = 0 0 + -4x = -10 + 34 -4x = -10 + 34 Combine like terms: -10 + 34 = 24 -4x = 24 Divide each side by '-4'. x = -6 Simplifying x = -6
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