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Simplifying -6(5 + -3x) + -2(x + -1) = 12x (5 * -6 + -3x * -6) + -2(x + -1) = 12x (-30 + 18x) + -2(x + -1) = 12x Reorder the terms: -30 + 18x + -2(-1 + x) = 12x -30 + 18x + (-1 * -2 + x * -2) = 12x -30 + 18x + (2 + -2x) = 12x Reorder the terms: -30 + 2 + 18x + -2x = 12x Combine like terms: -30 + 2 = -28 -28 + 18x + -2x = 12x Combine like terms: 18x + -2x = 16x -28 + 16x = 12x Solving -28 + 16x = 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -28 + 16x + -12x = 12x + -12x Combine like terms: 16x + -12x = 4x -28 + 4x = 12x + -12x Combine like terms: 12x + -12x = 0 -28 + 4x = 0 Add '28' to each side of the equation. -28 + 28 + 4x = 0 + 28 Combine like terms: -28 + 28 = 0 0 + 4x = 0 + 28 4x = 0 + 28 Combine like terms: 0 + 28 = 28 4x = 28 Divide each side by '4'. x = 7 Simplifying x = 7
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