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Simplifying -6(x + 5) + 34 = 7 + -7x Reorder the terms: -6(5 + x) + 34 = 7 + -7x (5 * -6 + x * -6) + 34 = 7 + -7x (-30 + -6x) + 34 = 7 + -7x Reorder the terms: -30 + 34 + -6x = 7 + -7x Combine like terms: -30 + 34 = 4 4 + -6x = 7 + -7x Solving 4 + -6x = 7 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 4 + -6x + 7x = 7 + -7x + 7x Combine like terms: -6x + 7x = 1x 4 + 1x = 7 + -7x + 7x Combine like terms: -7x + 7x = 0 4 + 1x = 7 + 0 4 + 1x = 7 Add '-4' to each side of the equation. 4 + -4 + 1x = 7 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = 7 + -4 1x = 7 + -4 Combine like terms: 7 + -4 = 3 1x = 3 Divide each side by '1'. x = 3 Simplifying x = 3
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