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Simplifying 5 + -3(2x + -8) = -2(1 + -1x) Reorder the terms: 5 + -3(-8 + 2x) = -2(1 + -1x) 5 + (-8 * -3 + 2x * -3) = -2(1 + -1x) 5 + (24 + -6x) = -2(1 + -1x) Combine like terms: 5 + 24 = 29 29 + -6x = -2(1 + -1x) 29 + -6x = (1 * -2 + -1x * -2) 29 + -6x = (-2 + 2x) Solving 29 + -6x = -2 + 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. 29 + -6x + -2x = -2 + 2x + -2x Combine like terms: -6x + -2x = -8x 29 + -8x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 29 + -8x = -2 + 0 29 + -8x = -2 Add '-29' to each side of the equation. 29 + -29 + -8x = -2 + -29 Combine like terms: 29 + -29 = 0 0 + -8x = -2 + -29 -8x = -2 + -29 Combine like terms: -2 + -29 = -31 -8x = -31 Divide each side by '-8'. x = 3.875 Simplifying x = 3.875
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