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Simplifying 3(2x + -5) + 2(x + -3) = 3 Reorder the terms: 3(-5 + 2x) + 2(x + -3) = 3 (-5 * 3 + 2x * 3) + 2(x + -3) = 3 (-15 + 6x) + 2(x + -3) = 3 Reorder the terms: -15 + 6x + 2(-3 + x) = 3 -15 + 6x + (-3 * 2 + x * 2) = 3 -15 + 6x + (-6 + 2x) = 3 Reorder the terms: -15 + -6 + 6x + 2x = 3 Combine like terms: -15 + -6 = -21 -21 + 6x + 2x = 3 Combine like terms: 6x + 2x = 8x -21 + 8x = 3 Solving -21 + 8x = 3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 8x = 3 + 21 Combine like terms: -21 + 21 = 0 0 + 8x = 3 + 21 8x = 3 + 21 Combine like terms: 3 + 21 = 24 8x = 24 Divide each side by '8'. x = 3 Simplifying x = 3
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