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Simplifying 3 + -1(2x + -7) = 34 + -6x Reorder the terms: 3 + -1(-7 + 2x) = 34 + -6x 3 + (-7 * -1 + 2x * -1) = 34 + -6x 3 + (7 + -2x) = 34 + -6x Combine like terms: 3 + 7 = 10 10 + -2x = 34 + -6x Solving 10 + -2x = 34 + -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. 10 + -2x + 6x = 34 + -6x + 6x Combine like terms: -2x + 6x = 4x 10 + 4x = 34 + -6x + 6x Combine like terms: -6x + 6x = 0 10 + 4x = 34 + 0 10 + 4x = 34 Add '-10' to each side of the equation. 10 + -10 + 4x = 34 + -10 Combine like terms: 10 + -10 = 0 0 + 4x = 34 + -10 4x = 34 + -10 Combine like terms: 34 + -10 = 24 4x = 24 Divide each side by '4'. x = 6 Simplifying x = 6
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