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Simplifying 3(5x + -6) + -3x = 10x + 6 Reorder the terms: 3(-6 + 5x) + -3x = 10x + 6 (-6 * 3 + 5x * 3) + -3x = 10x + 6 (-18 + 15x) + -3x = 10x + 6 Combine like terms: 15x + -3x = 12x -18 + 12x = 10x + 6 Reorder the terms: -18 + 12x = 6 + 10x Solving -18 + 12x = 6 + 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. -18 + 12x + -10x = 6 + 10x + -10x Combine like terms: 12x + -10x = 2x -18 + 2x = 6 + 10x + -10x Combine like terms: 10x + -10x = 0 -18 + 2x = 6 + 0 -18 + 2x = 6 Add '18' to each side of the equation. -18 + 18 + 2x = 6 + 18 Combine like terms: -18 + 18 = 0 0 + 2x = 6 + 18 2x = 6 + 18 Combine like terms: 6 + 18 = 24 2x = 24 Divide each side by '2'. x = 12 Simplifying x = 12
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