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Simplifying -44 = -2(6 + 8x) + -1(x + -2) -44 = (6 * -2 + 8x * -2) + -1(x + -2) -44 = (-12 + -16x) + -1(x + -2) Reorder the terms: -44 = -12 + -16x + -1(-2 + x) -44 = -12 + -16x + (-2 * -1 + x * -1) -44 = -12 + -16x + (2 + -1x) Reorder the terms: -44 = -12 + 2 + -16x + -1x Combine like terms: -12 + 2 = -10 -44 = -10 + -16x + -1x Combine like terms: -16x + -1x = -17x -44 = -10 + -17x Solving -44 = -10 + -17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17x' to each side of the equation. -44 + 17x = -10 + -17x + 17x Combine like terms: -17x + 17x = 0 -44 + 17x = -10 + 0 -44 + 17x = -10 Add '44' to each side of the equation. -44 + 44 + 17x = -10 + 44 Combine like terms: -44 + 44 = 0 0 + 17x = -10 + 44 17x = -10 + 44 Combine like terms: -10 + 44 = 34 17x = 34 Divide each side by '17'. x = 2 Simplifying x = 2
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