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Simplifying 7(5x + -9) + 3 = -1(4x + 3) + -2x Reorder the terms: 7(-9 + 5x) + 3 = -1(4x + 3) + -2x (-9 * 7 + 5x * 7) + 3 = -1(4x + 3) + -2x (-63 + 35x) + 3 = -1(4x + 3) + -2x Reorder the terms: -63 + 3 + 35x = -1(4x + 3) + -2x Combine like terms: -63 + 3 = -60 -60 + 35x = -1(4x + 3) + -2x Reorder the terms: -60 + 35x = -1(3 + 4x) + -2x -60 + 35x = (3 * -1 + 4x * -1) + -2x -60 + 35x = (-3 + -4x) + -2x Combine like terms: -4x + -2x = -6x -60 + 35x = -3 + -6x Solving -60 + 35x = -3 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -60 + 35x + 6x = -3 + -6x + 6x Combine like terms: 35x + 6x = 41x -60 + 41x = -3 + -6x + 6x Combine like terms: -6x + 6x = 0 -60 + 41x = -3 + 0 -60 + 41x = -3 Add '60' to each side of the equation. -60 + 60 + 41x = -3 + 60 Combine like terms: -60 + 60 = 0 0 + 41x = -3 + 60 41x = -3 + 60 Combine like terms: -3 + 60 = 57 41x = 57 Divide each side by '41'. x = 1.390243902 Simplifying x = 1.390243902
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