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Simplifying 3(5x + -7) + -20 = 4(6x + -9) + 11x Reorder the terms: 3(-7 + 5x) + -20 = 4(6x + -9) + 11x (-7 * 3 + 5x * 3) + -20 = 4(6x + -9) + 11x (-21 + 15x) + -20 = 4(6x + -9) + 11x Reorder the terms: -21 + -20 + 15x = 4(6x + -9) + 11x Combine like terms: -21 + -20 = -41 -41 + 15x = 4(6x + -9) + 11x Reorder the terms: -41 + 15x = 4(-9 + 6x) + 11x -41 + 15x = (-9 * 4 + 6x * 4) + 11x -41 + 15x = (-36 + 24x) + 11x Combine like terms: 24x + 11x = 35x -41 + 15x = -36 + 35x Solving -41 + 15x = -36 + 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. -41 + 15x + -35x = -36 + 35x + -35x Combine like terms: 15x + -35x = -20x -41 + -20x = -36 + 35x + -35x Combine like terms: 35x + -35x = 0 -41 + -20x = -36 + 0 -41 + -20x = -36 Add '41' to each side of the equation. -41 + 41 + -20x = -36 + 41 Combine like terms: -41 + 41 = 0 0 + -20x = -36 + 41 -20x = -36 + 41 Combine like terms: -36 + 41 = 5 -20x = 5 Divide each side by '-20'. x = -0.25 Simplifying x = -0.25
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