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Simplifying 6(3x + -6) = 10x Reorder the terms: 6(-6 + 3x) = 10x (-6 * 6 + 3x * 6) = 10x (-36 + 18x) = 10x Solving -36 + 18x = 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -36 + 18x + -10x = 10x + -10x Combine like terms: 18x + -10x = 8x -36 + 8x = 10x + -10x Combine like terms: 10x + -10x = 0 -36 + 8x = 0 Add '36' to each side of the equation. -36 + 36 + 8x = 0 + 36 Combine like terms: -36 + 36 = 0 0 + 8x = 0 + 36 8x = 0 + 36 Combine like terms: 0 + 36 = 36 8x = 36 Divide each side by '8'. x = 4.5 Simplifying x = 4.5
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