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Simplifying 30 + -4x = -5(6x + 4) + -5(-8 + -5x) Reorder the terms: 30 + -4x = -5(4 + 6x) + -5(-8 + -5x) 30 + -4x = (4 * -5 + 6x * -5) + -5(-8 + -5x) 30 + -4x = (-20 + -30x) + -5(-8 + -5x) 30 + -4x = -20 + -30x + (-8 * -5 + -5x * -5) 30 + -4x = -20 + -30x + (40 + 25x) Reorder the terms: 30 + -4x = -20 + 40 + -30x + 25x Combine like terms: -20 + 40 = 20 30 + -4x = 20 + -30x + 25x Combine like terms: -30x + 25x = -5x 30 + -4x = 20 + -5x Solving 30 + -4x = 20 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 30 + -4x + 5x = 20 + -5x + 5x Combine like terms: -4x + 5x = 1x 30 + 1x = 20 + -5x + 5x Combine like terms: -5x + 5x = 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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