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Simplifying 4[1 + -1(3 + -2x)] + 5 = 3(x + 11) 4[1 + (3 * -1 + -2x * -1)] + 5 = 3(x + 11) 4[1 + (-3 + 2x)] + 5 = 3(x + 11) Combine like terms: 1 + -3 = -2 4[-2 + 2x] + 5 = 3(x + 11) [-2 * 4 + 2x * 4] + 5 = 3(x + 11) [-8 + 8x] + 5 = 3(x + 11) Reorder the terms: -8 + 5 + 8x = 3(x + 11) Combine like terms: -8 + 5 = -3 -3 + 8x = 3(x + 11) Reorder the terms: -3 + 8x = 3(11 + x) -3 + 8x = (11 * 3 + x * 3) -3 + 8x = (33 + 3x) Solving -3 + 8x = 33 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -3 + 8x + -3x = 33 + 3x + -3x Combine like terms: 8x + -3x = 5x -3 + 5x = 33 + 3x + -3x Combine like terms: 3x + -3x = 0 -3 + 5x = 33 + 0 -3 + 5x = 33 Add '3' to each side of the equation. -3 + 3 + 5x = 33 + 3 Combine like terms: -3 + 3 = 0 0 + 5x = 33 + 3 5x = 33 + 3 Combine like terms: 33 + 3 = 36 5x = 36 Divide each side by '5'. x = 7.2 Simplifying x = 7.2
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