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Simplifying 2(2 + -3x) + -3(3 + -2x) = 4(x + 1) + 3(4 + -5x) (2 * 2 + -3x * 2) + -3(3 + -2x) = 4(x + 1) + 3(4 + -5x) (4 + -6x) + -3(3 + -2x) = 4(x + 1) + 3(4 + -5x) 4 + -6x + (3 * -3 + -2x * -3) = 4(x + 1) + 3(4 + -5x) 4 + -6x + (-9 + 6x) = 4(x + 1) + 3(4 + -5x) Reorder the terms: 4 + -9 + -6x + 6x = 4(x + 1) + 3(4 + -5x) Combine like terms: 4 + -9 = -5 -5 + -6x + 6x = 4(x + 1) + 3(4 + -5x) Combine like terms: -6x + 6x = 0 -5 + 0 = 4(x + 1) + 3(4 + -5x) -5 = 4(x + 1) + 3(4 + -5x) Reorder the terms: -5 = 4(1 + x) + 3(4 + -5x) -5 = (1 * 4 + x * 4) + 3(4 + -5x) -5 = (4 + 4x) + 3(4 + -5x) -5 = 4 + 4x + (4 * 3 + -5x * 3) -5 = 4 + 4x + (12 + -15x) Reorder the terms: -5 = 4 + 12 + 4x + -15x Combine like terms: 4 + 12 = 16 -5 = 16 + 4x + -15x Combine like terms: 4x + -15x = -11x -5 = 16 + -11x Solving -5 = 16 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. -5 + 11x = 16 + -11x + 11x Combine like terms: -11x + 11x = 0 -5 + 11x = 16 + 0 -5 + 11x = 16 Add '5' to each side of the equation. -5 + 5 + 11x = 16 + 5 Combine like terms: -5 + 5 = 0 0 + 11x = 16 + 5 11x = 16 + 5 Combine like terms: 16 + 5 = 21 11x = 21 Divide each side by '11'. x = 1.909090909 Simplifying x = 1.909090909
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