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Simplifying 3(2x + -9) + 2(x + 1) = -10 Reorder the terms: 3(-9 + 2x) + 2(x + 1) = -10 (-9 * 3 + 2x * 3) + 2(x + 1) = -10 (-27 + 6x) + 2(x + 1) = -10 Reorder the terms: -27 + 6x + 2(1 + x) = -10 -27 + 6x + (1 * 2 + x * 2) = -10 -27 + 6x + (2 + 2x) = -10 Reorder the terms: -27 + 2 + 6x + 2x = -10 Combine like terms: -27 + 2 = -25 -25 + 6x + 2x = -10 Combine like terms: 6x + 2x = 8x -25 + 8x = -10 Solving -25 + 8x = -10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 8x = -10 + 25 Combine like terms: -25 + 25 = 0 0 + 8x = -10 + 25 8x = -10 + 25 Combine like terms: -10 + 25 = 15 8x = 15 Divide each side by '8'. x = 1.875 Simplifying x = 1.875
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