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Simplifying -7(12 + -9x) = 4(12x + -6) + 10x (12 * -7 + -9x * -7) = 4(12x + -6) + 10x (-84 + 63x) = 4(12x + -6) + 10x Reorder the terms: -84 + 63x = 4(-6 + 12x) + 10x -84 + 63x = (-6 * 4 + 12x * 4) + 10x -84 + 63x = (-24 + 48x) + 10x Combine like terms: 48x + 10x = 58x -84 + 63x = -24 + 58x Solving -84 + 63x = -24 + 58x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-58x' to each side of the equation. -84 + 63x + -58x = -24 + 58x + -58x Combine like terms: 63x + -58x = 5x -84 + 5x = -24 + 58x + -58x Combine like terms: 58x + -58x = 0 -84 + 5x = -24 + 0 -84 + 5x = -24 Add '84' to each side of the equation. -84 + 84 + 5x = -24 + 84 Combine like terms: -84 + 84 = 0 0 + 5x = -24 + 84 5x = -24 + 84 Combine like terms: -24 + 84 = 60 5x = 60 Divide each side by '5'. x = 12 Simplifying x = 12
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