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Simplifying 3(x + -3) + -4(2 + -3x) = 2(1 + -2x) Reorder the terms: 3(-3 + x) + -4(2 + -3x) = 2(1 + -2x) (-3 * 3 + x * 3) + -4(2 + -3x) = 2(1 + -2x) (-9 + 3x) + -4(2 + -3x) = 2(1 + -2x) -9 + 3x + (2 * -4 + -3x * -4) = 2(1 + -2x) -9 + 3x + (-8 + 12x) = 2(1 + -2x) Reorder the terms: -9 + -8 + 3x + 12x = 2(1 + -2x) Combine like terms: -9 + -8 = -17 -17 + 3x + 12x = 2(1 + -2x) Combine like terms: 3x + 12x = 15x -17 + 15x = 2(1 + -2x) -17 + 15x = (1 * 2 + -2x * 2) -17 + 15x = (2 + -4x) Solving -17 + 15x = 2 + -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. -17 + 15x + 4x = 2 + -4x + 4x Combine like terms: 15x + 4x = 19x -17 + 19x = 2 + -4x + 4x Combine like terms: -4x + 4x = 0 -17 + 19x = 2 + 0 -17 + 19x = 2 Add '17' to each side of the equation. -17 + 17 + 19x = 2 + 17 Combine like terms: -17 + 17 = 0 0 + 19x = 2 + 17 19x = 2 + 17 Combine like terms: 2 + 17 = 19 19x = 19 Divide each side by '19'. x = 1 Simplifying x = 1
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