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Simplifying 5x + -30 = -7(-2 + -2x) + -8 Reorder the terms: -30 + 5x = -7(-2 + -2x) + -8 -30 + 5x = (-2 * -7 + -2x * -7) + -8 -30 + 5x = (14 + 14x) + -8 Reorder the terms: -30 + 5x = 14 + -8 + 14x Combine like terms: 14 + -8 = 6 -30 + 5x = 6 + 14x Solving -30 + 5x = 6 + 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 = 6 + 14x + -14x Combine like terms: 5x + -14x = -9x -30 + -9x = 6 + 14x + -14x Combine like terms: 14x + -14x = 0 -30 + -9x = 6 + 0 -30 + -9x = 6 Add '30' to each side of the equation. -30 + 30 + -9x = 6 + 30 Combine like terms: -30 + 30 = 0 0 + -9x = 6 + 30 -9x = 6 + 30 Combine like terms: 6 + 30 = 36 -9x = 36 Divide each side by '-9'. x = -4 Simplifying x = -4
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