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Simplifying 10x + -3(x + 2) = -8 + 3x + -6x + -3 Reorder the terms: 10x + -3(2 + x) = -8 + 3x + -6x + -3 10x + (2 * -3 + x * -3) = -8 + 3x + -6x + -3 10x + (-6 + -3x) = -8 + 3x + -6x + -3 Reorder the terms: -6 + 10x + -3x = -8 + 3x + -6x + -3 Combine like terms: 10x + -3x = 7x -6 + 7x = -8 + 3x + -6x + -3 Reorder the terms: -6 + 7x = -8 + -3 + 3x + -6x Combine like terms: -8 + -3 = -11 -6 + 7x = -11 + 3x + -6x Combine like terms: 3x + -6x = -3x -6 + 7x = -11 + -3x Solving -6 + 7x = -11 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -6 + 7x + 3x = -11 + -3x + 3x Combine like terms: 7x + 3x = 10x -6 + 10x = -11 + -3x + 3x Combine like terms: -3x + 3x = 0 -6 + 10x = -11 + 0 -6 + 10x = -11 Add '6' to each side of the equation. -6 + 6 + 10x = -11 + 6 Combine like terms: -6 + 6 = 0 0 + 10x = -11 + 6 10x = -11 + 6 Combine like terms: -11 + 6 = -5 10x = -5 Divide each side by '10'. x = -0.5 Simplifying x = -0.5
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