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Simplifying 5 + -1(3 + 3x) + -2(4 + -2x) = 10 + -9(3x + 2) 5 + (3 * -1 + 3x * -1) + -2(4 + -2x) = 10 + -9(3x + 2) 5 + (-3 + -3x) + -2(4 + -2x) = 10 + -9(3x + 2) 5 + -3 + -3x + (4 * -2 + -2x * -2) = 10 + -9(3x + 2) 5 + -3 + -3x + (-8 + 4x) = 10 + -9(3x + 2) Reorder the terms: 5 + -3 + -8 + -3x + 4x = 10 + -9(3x + 2) Combine like terms: 5 + -3 = 2 2 + -8 + -3x + 4x = 10 + -9(3x + 2) Combine like terms: 2 + -8 = -6 -6 + -3x + 4x = 10 + -9(3x + 2) Combine like terms: -3x + 4x = 1x -6 + 1x = 10 + -9(3x + 2) Reorder the terms: -6 + 1x = 10 + -9(2 + 3x) -6 + 1x = 10 + (2 * -9 + 3x * -9) -6 + 1x = 10 + (-18 + -27x) Combine like terms: 10 + -18 = -8 -6 + 1x = -8 + -27x Solving -6 + 1x = -8 + -27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27x' to each side of the equation. -6 + 1x + 27x = -8 + -27x + 27x Combine like terms: 1x + 27x = 28x -6 + 28x = -8 + -27x + 27x Combine like terms: -27x + 27x = 0 -6 + 28x = -8 + 0 -6 + 28x = -8 Add '6' to each side of the equation. -6 + 6 + 28x = -8 + 6 Combine like terms: -6 + 6 = 0 0 + 28x = -8 + 6 28x = -8 + 6 Combine like terms: -8 + 6 = -2 28x = -2 Divide each side by '28'. x = -0.07142857143 Simplifying x = -0.07142857143
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