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Simplifying 46 + -1(6x + 7) = 2(x + 6) + x Reorder the terms: 46 + -1(7 + 6x) = 2(x + 6) + x 46 + (7 * -1 + 6x * -1) = 2(x + 6) + x 46 + (-7 + -6x) = 2(x + 6) + x Combine like terms: 46 + -7 = 39 39 + -6x = 2(x + 6) + x Reorder the terms: 39 + -6x = 2(6 + x) + x 39 + -6x = (6 * 2 + x * 2) + x 39 + -6x = (12 + 2x) + x Combine like terms: 2x + x = 3x 39 + -6x = 12 + 3x Solving 39 + -6x = 12 + 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. 39 + -6x + -3x = 12 + 3x + -3x Combine like terms: -6x + -3x = -9x 39 + -9x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 39 + -9x = 12 + 0 39 + -9x = 12 Add '-39' to each side of the equation. 39 + -39 + -9x = 12 + -39 Combine like terms: 39 + -39 = 0 0 + -9x = 12 + -39 -9x = 12 + -39 Combine like terms: 12 + -39 = -27 -9x = -27 Divide each side by '-9'. x = 3 Simplifying x = 3
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