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Simplifying 7x + -1(8x + -5x + -30) = 12 Reorder the terms: 7x + -1(-30 + 8x + -5x) = 12 Combine like terms: 8x + -5x = 3x 7x + -1(-30 + 3x) = 12 7x + (-30 * -1 + 3x * -1) = 12 7x + (30 + -3x) = 12 Reorder the terms: 30 + 7x + -3x = 12 Combine like terms: 7x + -3x = 4x 30 + 4x = 12 Solving 30 + 4x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 4x = 12 + -30 Combine like terms: 30 + -30 = 0 0 + 4x = 12 + -30 4x = 12 + -30 Combine like terms: 12 + -30 = -18 4x = -18 Divide each side by '4'. x = -4.5 Simplifying x = -4.5
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