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Simplifying 30 + -5x = -1(-6 + x) + 8x 30 + -5x = (-6 * -1 + x * -1) + 8x 30 + -5x = (6 + -1x) + 8x Combine like terms: -1x + 8x = 7x 30 + -5x = 6 + 7x Solving 30 + -5x = 6 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 30 + -5x + -7x = 6 + 7x + -7x Combine like terms: -5x + -7x = -12x 30 + -12x = 6 + 7x + -7x Combine like terms: 7x + -7x = 0 30 + -12x = 6 + 0 30 + -12x = 6 Add '-30' to each side of the equation. 30 + -30 + -12x = 6 + -30 Combine like terms: 30 + -30 = 0 0 + -12x = 6 + -30 -12x = 6 + -30 Combine like terms: 6 + -30 = -24 -12x = -24 Divide each side by '-12'. x = 2 Simplifying x = 2
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