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Simplifying 3(15x + -2) = 12x + 10.5 Reorder the terms: 3(-2 + 15x) = 12x + 10.5 (-2 * 3 + 15x * 3) = 12x + 10.5 (-6 + 45x) = 12x + 10.5 Reorder the terms: -6 + 45x = 10.5 + 12x Solving -6 + 45x = 10.5 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -6 + 45x + -12x = 10.5 + 12x + -12x Combine like terms: 45x + -12x = 33x -6 + 33x = 10.5 + 12x + -12x Combine like terms: 12x + -12x = 0 -6 + 33x = 10.5 + 0 -6 + 33x = 10.5 Add '6' to each side of the equation. -6 + 6 + 33x = 10.5 + 6 Combine like terms: -6 + 6 = 0 0 + 33x = 10.5 + 6 33x = 10.5 + 6 Combine like terms: 10.5 + 6 = 16.5 33x = 16.5 Divide each side by '33'. x = 0.5 Simplifying x = 0.5
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