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Simplifying 34 = 4(x + 6) + -6x Reorder the terms: 34 = 4(6 + x) + -6x 34 = (6 * 4 + x * 4) + -6x 34 = (24 + 4x) + -6x Combine like terms: 4x + -6x = -2x 34 = 24 + -2x Solving 34 = 24 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 34 + 2x = 24 + -2x + 2x Combine like terms: -2x + 2x = 0 34 + 2x = 24 + 0 34 + 2x = 24 Add '-34' to each side of the equation. 34 + -34 + 2x = 24 + -34 Combine like terms: 34 + -34 = 0 0 + 2x = 24 + -34 2x = 24 + -34 Combine like terms: 24 + -34 = -10 2x = -10 Divide each side by '2'. x = -5 Simplifying x = -5
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