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Simplifying 3[x + -1(3 + -2x)] + 5 = 3(x + 11) 3[x + (3 * -1 + -2x * -1)] + 5 = 3(x + 11) 3[x + (-3 + 2x)] + 5 = 3(x + 11) Reorder the terms: 3[-3 + x + 2x] + 5 = 3(x + 11) Combine like terms: x + 2x = 3x 3[-3 + 3x] + 5 = 3(x + 11) [-3 * 3 + 3x * 3] + 5 = 3(x + 11) [-9 + 9x] + 5 = 3(x + 11) Reorder the terms: -9 + 5 + 9x = 3(x + 11) Combine like terms: -9 + 5 = -4 -4 + 9x = 3(x + 11) Reorder the terms: -4 + 9x = 3(11 + x) -4 + 9x = (11 * 3 + x * 3) -4 + 9x = (33 + 3x) Solving -4 + 9x = 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. -4 + 9x + -3x = 33 + 3x + -3x Combine like terms: 9x + -3x = 6x -4 + 6x = 33 + 3x + -3x Combine like terms: 3x + -3x = 0 -4 + 6x = 33 + 0 -4 + 6x = 33 Add '4' to each side of the equation. -4 + 4 + 6x = 33 + 4 Combine like terms: -4 + 4 = 0 0 + 6x = 33 + 4 6x = 33 + 4 Combine like terms: 33 + 4 = 37 6x = 37 Divide each side by '6'. x = 6.166666667 Simplifying x = 6.166666667
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