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Simplifying 3(2x + 3) + -1(-1x + -2) = 4(3x + 5) + -1(x + 9) Reorder the terms: 3(3 + 2x) + -1(-1x + -2) = 4(3x + 5) + -1(x + 9) (3 * 3 + 2x * 3) + -1(-1x + -2) = 4(3x + 5) + -1(x + 9) (9 + 6x) + -1(-1x + -2) = 4(3x + 5) + -1(x + 9) Reorder the terms: 9 + 6x + -1(-2 + -1x) = 4(3x + 5) + -1(x + 9) 9 + 6x + (-2 * -1 + -1x * -1) = 4(3x + 5) + -1(x + 9) 9 + 6x + (2 + 1x) = 4(3x + 5) + -1(x + 9) Reorder the terms: 9 + 2 + 6x + 1x = 4(3x + 5) + -1(x + 9) Combine like terms: 9 + 2 = 11 11 + 6x + 1x = 4(3x + 5) + -1(x + 9) Combine like terms: 6x + 1x = 7x 11 + 7x = 4(3x + 5) + -1(x + 9) Reorder the terms: 11 + 7x = 4(5 + 3x) + -1(x + 9) 11 + 7x = (5 * 4 + 3x * 4) + -1(x + 9) 11 + 7x = (20 + 12x) + -1(x + 9) Reorder the terms: 11 + 7x = 20 + 12x + -1(9 + x) 11 + 7x = 20 + 12x + (9 * -1 + x * -1) 11 + 7x = 20 + 12x + (-9 + -1x) Reorder the terms: 11 + 7x = 20 + -9 + 12x + -1x Combine like terms: 20 + -9 = 11 11 + 7x = 11 + 12x + -1x Combine like terms: 12x + -1x = 11x 11 + 7x = 11 + 11x Add '-11' to each side of the equation. 11 + -11 + 7x = 11 + -11 + 11x Combine like terms: 11 + -11 = 0 0 + 7x = 11 + -11 + 11x 7x = 11 + -11 + 11x Combine like terms: 11 + -11 = 0 7x = 0 + 11x 7x = 11x Solving 7x = 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. 7x + -11x = 11x + -11x Combine like terms: 7x + -11x = -4x -4x = 11x + -11x Combine like terms: 11x + -11x = 0 -4x = 0 Divide each side by '-4'. x = 0 Simplifying x = 0
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