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Simplifying 10x + -6 = 3(3x + 6) Reorder the terms: -6 + 10x = 3(3x + 6) Reorder the terms: -6 + 10x = 3(6 + 3x) -6 + 10x = (6 * 3 + 3x * 3) -6 + 10x = (18 + 9x) Solving -6 + 10x = 18 + 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. -6 + 10x + -9x = 18 + 9x + -9x Combine like terms: 10x + -9x = 1x -6 + 1x = 18 + 9x + -9x Combine like terms: 9x + -9x = 0 -6 + 1x = 18 + 0 -6 + 1x = 18 Add '6' to each side of the equation. -6 + 6 + 1x = 18 + 6 Combine like terms: -6 + 6 = 0 0 + 1x = 18 + 6 1x = 18 + 6 Combine like terms: 18 + 6 = 24 1x = 24 Divide each side by '1'. x = 24 Simplifying x = 24
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