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Simplifying 10(3x + -7) = 6(2 + -9x) Reorder the terms: 10(-7 + 3x) = 6(2 + -9x) (-7 * 10 + 3x * 10) = 6(2 + -9x) (-70 + 30x) = 6(2 + -9x) -70 + 30x = (2 * 6 + -9x * 6) -70 + 30x = (12 + -54x) Solving -70 + 30x = 12 + -54x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '54x' to each side of the equation. -70 + 30x + 54x = 12 + -54x + 54x Combine like terms: 30x + 54x = 84x -70 + 84x = 12 + -54x + 54x Combine like terms: -54x + 54x = 0 -70 + 84x = 12 + 0 -70 + 84x = 12 Add '70' to each side of the equation. -70 + 70 + 84x = 12 + 70 Combine like terms: -70 + 70 = 0 0 + 84x = 12 + 70 84x = 12 + 70 Combine like terms: 12 + 70 = 82 84x = 82 Divide each side by '84'. x = 0.9761904762 Simplifying x = 0.9761904762
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