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Simplifying -5x + 30 = -2(7x + -2) + 8 Reorder the terms: 30 + -5x = -2(7x + -2) + 8 Reorder the terms: 30 + -5x = -2(-2 + 7x) + 8 30 + -5x = (-2 * -2 + 7x * -2) + 8 30 + -5x = (4 + -14x) + 8 Reorder the terms: 30 + -5x = 4 + 8 + -14x Combine like terms: 4 + 8 = 12 30 + -5x = 12 + -14x Solving 30 + -5x = 12 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. 30 + -5x + 14x = 12 + -14x + 14x Combine like terms: -5x + 14x = 9x 30 + 9x = 12 + -14x + 14x Combine like terms: -14x + 14x = 0 30 + 9x = 12 + 0 30 + 9x = 12 Add '-30' to each side of the equation. 30 + -30 + 9x = 12 + -30 Combine like terms: 30 + -30 = 0 0 + 9x = 12 + -30 9x = 12 + -30 Combine like terms: 12 + -30 = -18 9x = -18 Divide each side by '9'. x = -2 Simplifying x = -2
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