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Simplifying 4(4x + -1) + -1(5x + 1) = 2(x + 5) + -33 Reorder the terms: 4(-1 + 4x) + -1(5x + 1) = 2(x + 5) + -33 (-1 * 4 + 4x * 4) + -1(5x + 1) = 2(x + 5) + -33 (-4 + 16x) + -1(5x + 1) = 2(x + 5) + -33 Reorder the terms: -4 + 16x + -1(1 + 5x) = 2(x + 5) + -33 -4 + 16x + (1 * -1 + 5x * -1) = 2(x + 5) + -33 -4 + 16x + (-1 + -5x) = 2(x + 5) + -33 Reorder the terms: -4 + -1 + 16x + -5x = 2(x + 5) + -33 Combine like terms: -4 + -1 = -5 -5 + 16x + -5x = 2(x + 5) + -33 Combine like terms: 16x + -5x = 11x -5 + 11x = 2(x + 5) + -33 Reorder the terms: -5 + 11x = 2(5 + x) + -33 -5 + 11x = (5 * 2 + x * 2) + -33 -5 + 11x = (10 + 2x) + -33 Reorder the terms: -5 + 11x = 10 + -33 + 2x Combine like terms: 10 + -33 = -23 -5 + 11x = -23 + 2x Solving -5 + 11x = -23 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -5 + 11x + -2x = -23 + 2x + -2x Combine like terms: 11x + -2x = 9x -5 + 9x = -23 + 2x + -2x Combine like terms: 2x + -2x = 0 -5 + 9x = -23 + 0 -5 + 9x = -23 Add '5' to each side of the equation. -5 + 5 + 9x = -23 + 5 Combine like terms: -5 + 5 = 0 0 + 9x = -23 + 5 9x = -23 + 5 Combine like terms: -23 + 5 = -18 9x = -18 Divide each side by '9'. x = -2 Simplifying x = -2
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