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Simplifying 3(2x + -3) + -2(1 + -1x) = 6 + -1(4x + 5) Reorder the terms: 3(-3 + 2x) + -2(1 + -1x) = 6 + -1(4x + 5) (-3 * 3 + 2x * 3) + -2(1 + -1x) = 6 + -1(4x + 5) (-9 + 6x) + -2(1 + -1x) = 6 + -1(4x + 5) -9 + 6x + (1 * -2 + -1x * -2) = 6 + -1(4x + 5) -9 + 6x + (-2 + 2x) = 6 + -1(4x + 5) Reorder the terms: -9 + -2 + 6x + 2x = 6 + -1(4x + 5) Combine like terms: -9 + -2 = -11 -11 + 6x + 2x = 6 + -1(4x + 5) Combine like terms: 6x + 2x = 8x -11 + 8x = 6 + -1(4x + 5) Reorder the terms: -11 + 8x = 6 + -1(5 + 4x) -11 + 8x = 6 + (5 * -1 + 4x * -1) -11 + 8x = 6 + (-5 + -4x) Combine like terms: 6 + -5 = 1 -11 + 8x = 1 + -4x Solving -11 + 8x = 1 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -11 + 8x + 4x = 1 + -4x + 4x Combine like terms: 8x + 4x = 12x -11 + 12x = 1 + -4x + 4x Combine like terms: -4x + 4x = 0 -11 + 12x = 1 + 0 -11 + 12x = 1 Add '11' to each side of the equation. -11 + 11 + 12x = 1 + 11 Combine like terms: -11 + 11 = 0 0 + 12x = 1 + 11 12x = 1 + 11 Combine like terms: 1 + 11 = 12 12x = 12 Divide each side by '12'. x = 1 Simplifying x = 1
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