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Simplifying 6 + -5(3x + -2) + -1(x + 20) = 44 Reorder the terms: 6 + -5(-2 + 3x) + -1(x + 20) = 44 6 + (-2 * -5 + 3x * -5) + -1(x + 20) = 44 6 + (10 + -15x) + -1(x + 20) = 44 Reorder the terms: 6 + 10 + -15x + -1(20 + x) = 44 6 + 10 + -15x + (20 * -1 + x * -1) = 44 6 + 10 + -15x + (-20 + -1x) = 44 Reorder the terms: 6 + 10 + -20 + -15x + -1x = 44 Combine like terms: 6 + 10 = 16 16 + -20 + -15x + -1x = 44 Combine like terms: 16 + -20 = -4 -4 + -15x + -1x = 44 Combine like terms: -15x + -1x = -16x -4 + -16x = 44 Solving -4 + -16x = 44 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -16x = 44 + 4 Combine like terms: -4 + 4 = 0 0 + -16x = 44 + 4 -16x = 44 + 4 Combine like terms: 44 + 4 = 48 -16x = 48 Divide each side by '-16'. x = -3 Simplifying x = -3
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