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Simplifying 4[x + -1(3 + -2x)] = 3(x + 11) 4[x + (3 * -1 + -2x * -1)] = 3(x + 11) 4[x + (-3 + 2x)] = 3(x + 11) Reorder the terms: 4[-3 + x + 2x] = 3(x + 11) Combine like terms: x + 2x = 3x 4[-3 + 3x] = 3(x + 11) [-3 * 4 + 3x * 4] = 3(x + 11) [-12 + 12x] = 3(x + 11) Reorder the terms: -12 + 12x = 3(11 + x) -12 + 12x = (11 * 3 + x * 3) -12 + 12x = (33 + 3x) Solving -12 + 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. -12 + 12x + -3x = 33 + 3x + -3x Combine like terms: 12x + -3x = 9x -12 + 9x = 33 + 3x + -3x Combine like terms: 3x + -3x = 0 -12 + 9x = 33 + 0 -12 + 9x = 33 Add '12' to each side of the equation. -12 + 12 + 9x = 33 + 12 Combine like terms: -12 + 12 = 0 0 + 9x = 33 + 12 9x = 33 + 12 Combine like terms: 33 + 12 = 45 9x = 45 Divide each side by '9'. x = 5 Simplifying x = 5
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