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Simplifying 4(3 + x) + 2(-7 + 5x) = -30 (3 * 4 + x * 4) + 2(-7 + 5x) = -30 (12 + 4x) + 2(-7 + 5x) = -30 12 + 4x + (-7 * 2 + 5x * 2) = -30 12 + 4x + (-14 + 10x) = -30 Reorder the terms: 12 + -14 + 4x + 10x = -30 Combine like terms: 12 + -14 = -2 -2 + 4x + 10x = -30 Combine like terms: 4x + 10x = 14x -2 + 14x = -30 Solving -2 + 14x = -30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. 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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