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Simplifying -34 = 3(x + -6) + -7x Reorder the terms: -34 = 3(-6 + x) + -7x -34 = (-6 * 3 + x * 3) + -7x -34 = (-18 + 3x) + -7x Combine like terms: 3x + -7x = -4x -34 = -18 + -4x Solving -34 = -18 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -34 + 4x = -18 + -4x + 4x Combine like terms: -4x + 4x = 0 -34 + 4x = -18 + 0 -34 + 4x = -18 Add '34' to each side of the equation. -34 + 34 + 4x = -18 + 34 Combine like terms: -34 + 34 = 0 0 + 4x = -18 + 34 4x = -18 + 34 Combine like terms: -18 + 34 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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