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Simplifying 2x + -5(x + -7) = 2 + -6x Reorder the terms: 2x + -5(-7 + x) = 2 + -6x 2x + (-7 * -5 + x * -5) = 2 + -6x 2x + (35 + -5x) = 2 + -6x Reorder the terms: 35 + 2x + -5x = 2 + -6x Combine like terms: 2x + -5x = -3x 35 + -3x = 2 + -6x Solving 35 + -3x = 2 + -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. 35 + -3x + 6x = 2 + -6x + 6x Combine like terms: -3x + 6x = 3x 35 + 3x = 2 + -6x + 6x Combine like terms: -6x + 6x = 0 35 + 3x = 2 + 0 35 + 3x = 2 Add '-35' to each side of the equation. 35 + -35 + 3x = 2 + -35 Combine like terms: 35 + -35 = 0 0 + 3x = 2 + -35 3x = 2 + -35 Combine like terms: 2 + -35 = -33 3x = -33 Divide each side by '3'. x = -11 Simplifying x = -11
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