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Simplifying 39 + -1(2x + 11) = 2(x + 4) + x Reorder the terms: 39 + -1(11 + 2x) = 2(x + 4) + x 39 + (11 * -1 + 2x * -1) = 2(x + 4) + x 39 + (-11 + -2x) = 2(x + 4) + x Combine like terms: 39 + -11 = 28 28 + -2x = 2(x + 4) + x Reorder the terms: 28 + -2x = 2(4 + x) + x 28 + -2x = (4 * 2 + x * 2) + x 28 + -2x = (8 + 2x) + x Combine like terms: 2x + x = 3x 28 + -2x = 8 + 3x Solving 28 + -2x = 8 + 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. 28 + -2x + -3x = 8 + 3x + -3x Combine like terms: -2x + -3x = -5x 28 + -5x = 8 + 3x + -3x Combine like terms: 3x + -3x = 0 28 + -5x = 8 + 0 28 + -5x = 8 Add '-28' to each side of the equation. 28 + -28 + -5x = 8 + -28 Combine like terms: 28 + -28 = 0 0 + -5x = 8 + -28 -5x = 8 + -28 Combine like terms: 8 + -28 = -20 -5x = -20 Divide each side by '-5'. x = 4 Simplifying x = 4
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