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Simplifying 12x + -1(7 + -3x) = 8x + -30 12x + (7 * -1 + -3x * -1) = 8x + -30 12x + (-7 + 3x) = 8x + -30 Reorder the terms: -7 + 12x + 3x = 8x + -30 Combine like terms: 12x + 3x = 15x -7 + 15x = 8x + -30 Reorder the terms: -7 + 15x = -30 + 8x Solving -7 + 15x = -30 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -7 + 15x + -8x = -30 + 8x + -8x Combine like terms: 15x + -8x = 7x -7 + 7x = -30 + 8x + -8x Combine like terms: 8x + -8x = 0 -7 + 7x = -30 + 0 -7 + 7x = -30 Add '7' to each side of the equation. -7 + 7 + 7x = -30 + 7 Combine like terms: -7 + 7 = 0 0 + 7x = -30 + 7 7x = -30 + 7 Combine like terms: -30 + 7 = -23 7x = -23 Divide each side by '7'. x = -3.285714286 Simplifying x = -3.285714286
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