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Simplifying 30 + -9x = -5(6x + 4) + -5(-8 + -4x) Reorder the terms: 30 + -9x = -5(4 + 6x) + -5(-8 + -4x) 30 + -9x = (4 * -5 + 6x * -5) + -5(-8 + -4x) 30 + -9x = (-20 + -30x) + -5(-8 + -4x) 30 + -9x = -20 + -30x + (-8 * -5 + -4x * -5) 30 + -9x = -20 + -30x + (40 + 20x) Reorder the terms: 30 + -9x = -20 + 40 + -30x + 20x Combine like terms: -20 + 40 = 20 30 + -9x = 20 + -30x + 20x Combine like terms: -30x + 20x = -10x 30 + -9x = 20 + -10x Solving 30 + -9x = 20 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 30 + -9x + 10x = 20 + -10x + 10x Combine like terms: -9x + 10x = 1x 30 + 1x = 20 + -10x + 10x Combine like terms: -10x + 10x = 0 30 + 1x = 20 + 0 30 + 1x = 20 Add '-30' to each side of the equation. 30 + -30 + 1x = 20 + -30 Combine like terms: 30 + -30 = 0 0 + 1x = 20 + -30 1x = 20 + -30 Combine like terms: 20 + -30 = -10 1x = -10 Divide each side by '1'. x = -10 Simplifying x = -10
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