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Simplifying 30 = 6(-5x + 5) + -10(-9x + 6) Reorder the terms: 30 = 6(5 + -5x) + -10(-9x + 6) 30 = (5 * 6 + -5x * 6) + -10(-9x + 6) 30 = (30 + -30x) + -10(-9x + 6) Reorder the terms: 30 = 30 + -30x + -10(6 + -9x) 30 = 30 + -30x + (6 * -10 + -9x * -10) 30 = 30 + -30x + (-60 + 90x) Reorder the terms: 30 = 30 + -60 + -30x + 90x Combine like terms: 30 + -60 = -30 30 = -30 + -30x + 90x Combine like terms: -30x + 90x = 60x 30 = -30 + 60x Solving 30 = -30 + 60x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-60x' to each side of the equation. 30 + -60x = -30 + 60x + -60x Combine like terms: 60x + -60x = 0 30 + -60x = -30 + 0 30 + -60x = -30 Add '-30' to each side of the equation. 30 + -30 + -60x = -30 + -30 Combine like terms: 30 + -30 = 0 0 + -60x = -30 + -30 -60x = -30 + -30 Combine like terms: -30 + -30 = -60 -60x = -60 Divide each side by '-60'. x = 1 Simplifying x = 1
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