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Simplifying 2(x + -2) + -3(1 + -1x) = 20 + -1(x + -4) Reorder the terms: 2(-2 + x) + -3(1 + -1x) = 20 + -1(x + -4) (-2 * 2 + x * 2) + -3(1 + -1x) = 20 + -1(x + -4) (-4 + 2x) + -3(1 + -1x) = 20 + -1(x + -4) -4 + 2x + (1 * -3 + -1x * -3) = 20 + -1(x + -4) -4 + 2x + (-3 + 3x) = 20 + -1(x + -4) Reorder the terms: -4 + -3 + 2x + 3x = 20 + -1(x + -4) Combine like terms: -4 + -3 = -7 -7 + 2x + 3x = 20 + -1(x + -4) Combine like terms: 2x + 3x = 5x -7 + 5x = 20 + -1(x + -4) Reorder the terms: -7 + 5x = 20 + -1(-4 + x) -7 + 5x = 20 + (-4 * -1 + x * -1) -7 + 5x = 20 + (4 + -1x) Combine like terms: 20 + 4 = 24 -7 + 5x = 24 + -1x Solving -7 + 5x = 24 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -7 + 5x + x = 24 + -1x + x Combine like terms: 5x + x = 6x -7 + 6x = 24 + -1x + x Combine like terms: -1x + x = 0 -7 + 6x = 24 + 0 -7 + 6x = 24 Add '7' to each side of the equation. -7 + 7 + 6x = 24 + 7 Combine like terms: -7 + 7 = 0 0 + 6x = 24 + 7 6x = 24 + 7 Combine like terms: 24 + 7 = 31 6x = 31 Divide each side by '6'. x = 5.166666667 Simplifying x = 5.166666667
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