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Simplifying 7(3x + -5) + -4(8x + -11) = 9(4x + -2) + 4(3 + -10x) + -41 Reorder the terms: 7(-5 + 3x) + -4(8x + -11) = 9(4x + -2) + 4(3 + -10x) + -41 (-5 * 7 + 3x * 7) + -4(8x + -11) = 9(4x + -2) + 4(3 + -10x) + -41 (-35 + 21x) + -4(8x + -11) = 9(4x + -2) + 4(3 + -10x) + -41 Reorder the terms: -35 + 21x + -4(-11 + 8x) = 9(4x + -2) + 4(3 + -10x) + -41 -35 + 21x + (-11 * -4 + 8x * -4) = 9(4x + -2) + 4(3 + -10x) + -41 -35 + 21x + (44 + -32x) = 9(4x + -2) + 4(3 + -10x) + -41 Reorder the terms: -35 + 44 + 21x + -32x = 9(4x + -2) + 4(3 + -10x) + -41 Combine like terms: -35 + 44 = 9 9 + 21x + -32x = 9(4x + -2) + 4(3 + -10x) + -41 Combine like terms: 21x + -32x = -11x 9 + -11x = 9(4x + -2) + 4(3 + -10x) + -41 Reorder the terms: 9 + -11x = 9(-2 + 4x) + 4(3 + -10x) + -41 9 + -11x = (-2 * 9 + 4x * 9) + 4(3 + -10x) + -41 9 + -11x = (-18 + 36x) + 4(3 + -10x) + -41 9 + -11x = -18 + 36x + (3 * 4 + -10x * 4) + -41 9 + -11x = -18 + 36x + (12 + -40x) + -41 Reorder the terms: 9 + -11x = -18 + 12 + -41 + 36x + -40x Combine like terms: -18 + 12 = -6 9 + -11x = -6 + -41 + 36x + -40x Combine like terms: -6 + -41 = -47 9 + -11x = -47 + 36x + -40x Combine like terms: 36x + -40x = -4x 9 + -11x = -47 + -4x Solving 9 + -11x = -47 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 9 + -11x + 4x = -47 + -4x + 4x Combine like terms: -11x + 4x = -7x 9 + -7x = -47 + -4x + 4x Combine like terms: -4x + 4x = 0 9 + -7x = -47 + 0 9 + -7x = -47 Add '-9' to each side of the equation. 9 + -9 + -7x = -47 + -9 Combine like terms: 9 + -9 = 0 0 + -7x = -47 + -9 -7x = -47 + -9 Combine like terms: -47 + -9 = -56 -7x = -56 Divide each side by '-7'. x = 8 Simplifying x = 8
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