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Simplifying 2 + -3(2x + -3) + -3(4 + -5x) = 12 + -1(5 + x) Reorder the terms: 2 + -3(-3 + 2x) + -3(4 + -5x) = 12 + -1(5 + x) 2 + (-3 * -3 + 2x * -3) + -3(4 + -5x) = 12 + -1(5 + x) 2 + (9 + -6x) + -3(4 + -5x) = 12 + -1(5 + x) 2 + 9 + -6x + (4 * -3 + -5x * -3) = 12 + -1(5 + x) 2 + 9 + -6x + (-12 + 15x) = 12 + -1(5 + x) Reorder the terms: 2 + 9 + -12 + -6x + 15x = 12 + -1(5 + x) Combine like terms: 2 + 9 = 11 11 + -12 + -6x + 15x = 12 + -1(5 + x) Combine like terms: 11 + -12 = -1 -1 + -6x + 15x = 12 + -1(5 + x) Combine like terms: -6x + 15x = 9x -1 + 9x = 12 + -1(5 + x) -1 + 9x = 12 + (5 * -1 + x * -1) -1 + 9x = 12 + (-5 + -1x) Combine like terms: 12 + -5 = 7 -1 + 9x = 7 + -1x Solving -1 + 9x = 7 + -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. -1 + 9x + x = 7 + -1x + x Combine like terms: 9x + x = 10x -1 + 10x = 7 + -1x + x Combine like terms: -1x + x = 0 -1 + 10x = 7 + 0 -1 + 10x = 7 Add '1' to each side of the equation. -1 + 1 + 10x = 7 + 1 Combine like terms: -1 + 1 = 0 0 + 10x = 7 + 1 10x = 7 + 1 Combine like terms: 7 + 1 = 8 10x = 8 Divide each side by '10'. x = 0.8 Simplifying x = 0.8
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