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Simplifying 3(2x + -5) + -2(4 + -1x) = 9 Reorder the terms: 3(-5 + 2x) + -2(4 + -1x) = 9 (-5 * 3 + 2x * 3) + -2(4 + -1x) = 9 (-15 + 6x) + -2(4 + -1x) = 9 -15 + 6x + (4 * -2 + -1x * -2) = 9 -15 + 6x + (-8 + 2x) = 9 Reorder the terms: -15 + -8 + 6x + 2x = 9 Combine like terms: -15 + -8 = -23 -23 + 6x + 2x = 9 Combine like terms: 6x + 2x = 8x -23 + 8x = 9 Solving -23 + 8x = 9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + 8x = 9 + 23 Combine like terms: -23 + 23 = 0 0 + 8x = 9 + 23 8x = 9 + 23 Combine like terms: 9 + 23 = 32 8x = 32 Divide each side by '8'. x = 4 Simplifying x = 4
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