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Simplifying 3(4x + -3) + -1x = -5(2x + -4) Reorder the terms: 3(-3 + 4x) + -1x = -5(2x + -4) (-3 * 3 + 4x * 3) + -1x = -5(2x + -4) (-9 + 12x) + -1x = -5(2x + -4) Combine like terms: 12x + -1x = 11x -9 + 11x = -5(2x + -4) Reorder the terms: -9 + 11x = -5(-4 + 2x) -9 + 11x = (-4 * -5 + 2x * -5) -9 + 11x = (20 + -10x) Solving -9 + 11x = 20 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -9 + 11x + 10x = 20 + -10x + 10x Combine like terms: 11x + 10x = 21x -9 + 21x = 20 + -10x + 10x Combine like terms: -10x + 10x = 0 -9 + 21x = 20 + 0 -9 + 21x = 20 Add '9' to each side of the equation. -9 + 9 + 21x = 20 + 9 Combine like terms: -9 + 9 = 0 0 + 21x = 20 + 9 21x = 20 + 9 Combine like terms: 20 + 9 = 29 21x = 29 Divide each side by '21'. x = 1.380952381 Simplifying x = 1.380952381
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