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Simplifying 44 + -1(6x + 6) = 6(x + 2) + x Reorder the terms: 44 + -1(6 + 6x) = 6(x + 2) + x 44 + (6 * -1 + 6x * -1) = 6(x + 2) + x 44 + (-6 + -6x) = 6(x + 2) + x Combine like terms: 44 + -6 = 38 38 + -6x = 6(x + 2) + x Reorder the terms: 38 + -6x = 6(2 + x) + x 38 + -6x = (2 * 6 + x * 6) + x 38 + -6x = (12 + 6x) + x Combine like terms: 6x + x = 7x 38 + -6x = 12 + 7x Solving 38 + -6x = 12 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 38 + -6x + -7x = 12 + 7x + -7x Combine like terms: -6x + -7x = -13x 38 + -13x = 12 + 7x + -7x Combine like terms: 7x + -7x = 0 38 + -13x = 12 + 0 38 + -13x = 12 Add '-38' to each side of the equation. 38 + -38 + -13x = 12 + -38 Combine like terms: 38 + -38 = 0 0 + -13x = 12 + -38 -13x = 12 + -38 Combine like terms: 12 + -38 = -26 -13x = -26 Divide each side by '-13'. x = 2 Simplifying x = 2
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