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Simplifying 10 + -2(x + 3) + -3(x + 4) = 9 Reorder the terms: 10 + -2(3 + x) + -3(x + 4) = 9 10 + (3 * -2 + x * -2) + -3(x + 4) = 9 10 + (-6 + -2x) + -3(x + 4) = 9 Reorder the terms: 10 + -6 + -2x + -3(4 + x) = 9 10 + -6 + -2x + (4 * -3 + x * -3) = 9 10 + -6 + -2x + (-12 + -3x) = 9 Reorder the terms: 10 + -6 + -12 + -2x + -3x = 9 Combine like terms: 10 + -6 = 4 4 + -12 + -2x + -3x = 9 Combine like terms: 4 + -12 = -8 -8 + -2x + -3x = 9 Combine like terms: -2x + -3x = -5x -8 + -5x = 9 Solving -8 + -5x = 9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -5x = 9 + 8 Combine like terms: -8 + 8 = 0 0 + -5x = 9 + 8 -5x = 9 + 8 Combine like terms: 9 + 8 = 17 -5x = 17 Divide each side by '-5'. x = -3.4 Simplifying x = -3.4
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