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Simplifying 3(x + -1) + -1(4x + -9) = 4(5x + -1) + -11 Reorder the terms: 3(-1 + x) + -1(4x + -9) = 4(5x + -1) + -11 (-1 * 3 + x * 3) + -1(4x + -9) = 4(5x + -1) + -11 (-3 + 3x) + -1(4x + -9) = 4(5x + -1) + -11 Reorder the terms: -3 + 3x + -1(-9 + 4x) = 4(5x + -1) + -11 -3 + 3x + (-9 * -1 + 4x * -1) = 4(5x + -1) + -11 -3 + 3x + (9 + -4x) = 4(5x + -1) + -11 Reorder the terms: -3 + 9 + 3x + -4x = 4(5x + -1) + -11 Combine like terms: -3 + 9 = 6 6 + 3x + -4x = 4(5x + -1) + -11 Combine like terms: 3x + -4x = -1x 6 + -1x = 4(5x + -1) + -11 Reorder the terms: 6 + -1x = 4(-1 + 5x) + -11 6 + -1x = (-1 * 4 + 5x * 4) + -11 6 + -1x = (-4 + 20x) + -11 Reorder the terms: 6 + -1x = -4 + -11 + 20x Combine like terms: -4 + -11 = -15 6 + -1x = -15 + 20x Solving 6 + -1x = -15 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 6 + -1x + -20x = -15 + 20x + -20x Combine like terms: -1x + -20x = -21x 6 + -21x = -15 + 20x + -20x Combine like terms: 20x + -20x = 0 6 + -21x = -15 + 0 6 + -21x = -15 Add '-6' to each side of the equation. 6 + -6 + -21x = -15 + -6 Combine like terms: 6 + -6 = 0 0 + -21x = -15 + -6 -21x = -15 + -6 Combine like terms: -15 + -6 = -21 -21x = -21 Divide each side by '-21'. x = 1 Simplifying x = 1
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