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Simplifying 12x + -1(4x + -6) = 3x + -1(x + -30) Reorder the terms: 12x + -1(-6 + 4x) = 3x + -1(x + -30) 12x + (-6 * -1 + 4x * -1) = 3x + -1(x + -30) 12x + (6 + -4x) = 3x + -1(x + -30) Reorder the terms: 6 + 12x + -4x = 3x + -1(x + -30) Combine like terms: 12x + -4x = 8x 6 + 8x = 3x + -1(x + -30) Reorder the terms: 6 + 8x = 3x + -1(-30 + x) 6 + 8x = 3x + (-30 * -1 + x * -1) 6 + 8x = 3x + (30 + -1x) Reorder the terms: 6 + 8x = 30 + 3x + -1x Combine like terms: 3x + -1x = 2x 6 + 8x = 30 + 2x Solving 6 + 8x = 30 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 6 + 8x + -2x = 30 + 2x + -2x Combine like terms: 8x + -2x = 6x 6 + 6x = 30 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + 6x = 30 + 0 6 + 6x = 30 Add '-6' to each side of the equation. 6 + -6 + 6x = 30 + -6 Combine like terms: 6 + -6 = 0 0 + 6x = 30 + -6 6x = 30 + -6 Combine like terms: 30 + -6 = 24 6x = 24 Divide each side by '6'. x = 4 Simplifying x = 4
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