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Simplifying 10 + -8(-3 + -1x) = 2(-3 + -1x) 10 + (-3 * -8 + -1x * -8) = 2(-3 + -1x) 10 + (24 + 8x) = 2(-3 + -1x) Combine like terms: 10 + 24 = 34 34 + 8x = 2(-3 + -1x) 34 + 8x = (-3 * 2 + -1x * 2) 34 + 8x = (-6 + -2x) Solving 34 + 8x = -6 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 34 + 8x + 2x = -6 + -2x + 2x Combine like terms: 8x + 2x = 10x 34 + 10x = -6 + -2x + 2x Combine like terms: -2x + 2x = 0 34 + 10x = -6 + 0 34 + 10x = -6 Add '-34' to each side of the equation. 34 + -34 + 10x = -6 + -34 Combine like terms: 34 + -34 = 0 0 + 10x = -6 + -34 10x = -6 + -34 Combine like terms: -6 + -34 = -40 10x = -40 Divide each side by '10'. x = -4 Simplifying x = -4
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