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Simplifying (2(x + 4)) + -1(x + -4 + -27) = 2x Reorder the terms: (2(4 + x)) + -1(x + -4 + -27) = 2x ((4 * 2 + x * 2)) + -1(x + -4 + -27) = 2x ((8 + 2x)) + -1(x + -4 + -27) = 2x (8 + 2x) + -1(x + -4 + -27) = 2x Remove parenthesis around (8 + 2x) 8 + 2x + -1(x + -4 + -27) = 2x Reorder the terms: 8 + 2x + -1(-4 + -27 + x) = 2x Combine like terms: -4 + -27 = -31 8 + 2x + -1(-31 + x) = 2x 8 + 2x + (-31 * -1 + x * -1) = 2x 8 + 2x + (31 + -1x) = 2x Reorder the terms: 8 + 31 + 2x + -1x = 2x Combine like terms: 8 + 31 = 39 39 + 2x + -1x = 2x Combine like terms: 2x + -1x = 1x 39 + 1x = 2x Solving 39 + 1x = 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. 39 + 1x + -2x = 2x + -2x Combine like terms: 1x + -2x = -1x 39 + -1x = 2x + -2x Combine like terms: 2x + -2x = 0 39 + -1x = 0 Add '-39' to each side of the equation. 39 + -39 + -1x = 0 + -39 Combine like terms: 39 + -39 = 0 0 + -1x = 0 + -39 -1x = 0 + -39 Combine like terms: 0 + -39 = -39 -1x = -39 Divide each side by '-1'. x = 39 Simplifying x = 39
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