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Simplifying -3(4x + 3) + -2(2 + -11x) = 3(4 + 3x) Reorder the terms: -3(3 + 4x) + -2(2 + -11x) = 3(4 + 3x) (3 * -3 + 4x * -3) + -2(2 + -11x) = 3(4 + 3x) (-9 + -12x) + -2(2 + -11x) = 3(4 + 3x) -9 + -12x + (2 * -2 + -11x * -2) = 3(4 + 3x) -9 + -12x + (-4 + 22x) = 3(4 + 3x) Reorder the terms: -9 + -4 + -12x + 22x = 3(4 + 3x) Combine like terms: -9 + -4 = -13 -13 + -12x + 22x = 3(4 + 3x) Combine like terms: -12x + 22x = 10x -13 + 10x = 3(4 + 3x) -13 + 10x = (4 * 3 + 3x * 3) -13 + 10x = (12 + 9x) Solving -13 + 10x = 12 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -13 + 10x + -9x = 12 + 9x + -9x Combine like terms: 10x + -9x = 1x -13 + 1x = 12 + 9x + -9x Combine like terms: 9x + -9x = 0 -13 + 1x = 12 + 0 -13 + 1x = 12 Add '13' to each side of the equation. -13 + 13 + 1x = 12 + 13 Combine like terms: -13 + 13 = 0 0 + 1x = 12 + 13 1x = 12 + 13 Combine like terms: 12 + 13 = 25 1x = 25 Divide each side by '1'. x = 25 Simplifying x = 25
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