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Simplifying 11 + -6(6x + -1) + 3(2 + x) = 8 + -3x Reorder the terms: 11 + -6(-1 + 6x) + 3(2 + x) = 8 + -3x 11 + (-1 * -6 + 6x * -6) + 3(2 + x) = 8 + -3x 11 + (6 + -36x) + 3(2 + x) = 8 + -3x 11 + 6 + -36x + (2 * 3 + x * 3) = 8 + -3x 11 + 6 + -36x + (6 + 3x) = 8 + -3x Reorder the terms: 11 + 6 + 6 + -36x + 3x = 8 + -3x Combine like terms: 11 + 6 = 17 17 + 6 + -36x + 3x = 8 + -3x Combine like terms: 17 + 6 = 23 23 + -36x + 3x = 8 + -3x Combine like terms: -36x + 3x = -33x 23 + -33x = 8 + -3x Solving 23 + -33x = 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. 23 + -33x + 3x = 8 + -3x + 3x Combine like terms: -33x + 3x = -30x 23 + -30x = 8 + -3x + 3x Combine like terms: -3x + 3x = 0 23 + -30x = 8 + 0 23 + -30x = 8 Add '-23' to each side of the equation. 23 + -23 + -30x = 8 + -23 Combine like terms: 23 + -23 = 0 0 + -30x = 8 + -23 -30x = 8 + -23 Combine like terms: 8 + -23 = -15 -30x = -15 Divide each side by '-30'. x = 0.5 Simplifying x = 0.5
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