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Simplifying 7x + 8(7x + -3) = 9x + -12 Reorder the terms: 7x + 8(-3 + 7x) = 9x + -12 7x + (-3 * 8 + 7x * 8) = 9x + -12 7x + (-24 + 56x) = 9x + -12 Reorder the terms: -24 + 7x + 56x = 9x + -12 Combine like terms: 7x + 56x = 63x -24 + 63x = 9x + -12 Reorder the terms: -24 + 63x = -12 + 9x Solving -24 + 63x = -12 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -24 + 63x + -9x = -12 + 9x + -9x Combine like terms: 63x + -9x = 54x -24 + 54x = -12 + 9x + -9x Combine like terms: 9x + -9x = 0 -24 + 54x = -12 + 0 -24 + 54x = -12 Add '24' to each side of the equation. -24 + 24 + 54x = -12 + 24 Combine like terms: -24 + 24 = 0 0 + 54x = -12 + 24 54x = -12 + 24 Combine like terms: -12 + 24 = 12 54x = 12 Divide each side by '54'. x = 0.2222222222 Simplifying x = 0.2222222222
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