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Simplifying 1 + -1(2x + -5) = 8x + 3 + -27 Reorder the terms: 1 + -1(-5 + 2x) = 8x + 3 + -27 1 + (-5 * -1 + 2x * -1) = 8x + 3 + -27 1 + (5 + -2x) = 8x + 3 + -27 Combine like terms: 1 + 5 = 6 6 + -2x = 8x + 3 + -27 Reorder the terms: 6 + -2x = 3 + -27 + 8x Combine like terms: 3 + -27 = -24 6 + -2x = -24 + 8x Solving 6 + -2x = -24 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 6 + -2x + -8x = -24 + 8x + -8x Combine like terms: -2x + -8x = -10x 6 + -10x = -24 + 8x + -8x Combine like terms: 8x + -8x = 0 6 + -10x = -24 + 0 6 + -10x = -24 Add '-6' to each side of the equation. 6 + -6 + -10x = -24 + -6 Combine like terms: 6 + -6 = 0 0 + -10x = -24 + -6 -10x = -24 + -6 Combine like terms: -24 + -6 = -30 -10x = -30 Divide each side by '-10'. x = 3 Simplifying x = 3
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