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Simplifying 5(-3x + -1) + 7 = -1x + 30 Reorder the terms: 5(-1 + -3x) + 7 = -1x + 30 (-1 * 5 + -3x * 5) + 7 = -1x + 30 (-5 + -15x) + 7 = -1x + 30 Reorder the terms: -5 + 7 + -15x = -1x + 30 Combine like terms: -5 + 7 = 2 2 + -15x = -1x + 30 Reorder the terms: 2 + -15x = 30 + -1x Solving 2 + -15x = 30 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 2 + -15x + x = 30 + -1x + x Combine like terms: -15x + x = -14x 2 + -14x = 30 + -1x + x Combine like terms: -1x + x = 0 2 + -14x = 30 + 0 2 + -14x = 30 Add '-2' to each side of the equation. 2 + -2 + -14x = 30 + -2 Combine like terms: 2 + -2 = 0 0 + -14x = 30 + -2 -14x = 30 + -2 Combine like terms: 30 + -2 = 28 -14x = 28 Divide each side by '-14'. x = -2 Simplifying x = -2
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