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Simplifying 4[x + -1(3 + -2x)] + 5 = 3(x + 11) 4[x + (3 * -1 + -2x * -1)] + 5 = 3(x + 11) 4[x + (-3 + 2x)] + 5 = 3(x + 11) Reorder the terms: 4[-3 + x + 2x] + 5 = 3(x + 11) Combine like terms: x + 2x = 3x 4[-3 + 3x] + 5 = 3(x + 11) [-3 * 4 + 3x * 4] + 5 = 3(x + 11) [-12 + 12x] + 5 = 3(x + 11) Reorder the terms: -12 + 5 + 12x = 3(x + 11) Combine like terms: -12 + 5 = -7 -7 + 12x = 3(x + 11) Reorder the terms: -7 + 12x = 3(11 + x) -7 + 12x = (11 * 3 + x * 3) -7 + 12x = (33 + 3x) Solving -7 + 12x = 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. -7 + 12x + -3x = 33 + 3x + -3x Combine like terms: 12x + -3x = 9x -7 + 9x = 33 + 3x + -3x Combine like terms: 3x + -3x = 0 -7 + 9x = 33 + 0 -7 + 9x = 33 Add '7' to each side of the equation. -7 + 7 + 9x = 33 + 7 Combine like terms: -7 + 7 = 0 0 + 9x = 33 + 7 9x = 33 + 7 Combine like terms: 33 + 7 = 40 9x = 40 Divide each side by '9'. x = 4.444444444 Simplifying x = 4.444444444
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