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Simplifying 5 + 2[3(x + 5) + -1(3x + 11)] = 11 + -4x Reorder the terms: 5 + 2[3(5 + x) + -1(3x + 11)] = 11 + -4x 5 + 2[(5 * 3 + x * 3) + -1(3x + 11)] = 11 + -4x 5 + 2[(15 + 3x) + -1(3x + 11)] = 11 + -4x Reorder the terms: 5 + 2[15 + 3x + -1(11 + 3x)] = 11 + -4x 5 + 2[15 + 3x + (11 * -1 + 3x * -1)] = 11 + -4x 5 + 2[15 + 3x + (-11 + -3x)] = 11 + -4x Reorder the terms: 5 + 2[15 + -11 + 3x + -3x] = 11 + -4x Combine like terms: 15 + -11 = 4 5 + 2[4 + 3x + -3x] = 11 + -4x Combine like terms: 3x + -3x = 0 5 + 2[4 + 0] = 11 + -4x 5 + 2[4] = 11 + -4x Multiply 2 * 4 5 + 8 = 11 + -4x Combine like terms: 5 + 8 = 13 13 = 11 + -4x Solving 13 = 11 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 13 + 4x = 11 + -4x + 4x Combine like terms: -4x + 4x = 0 13 + 4x = 11 + 0 13 + 4x = 11 Add '-13' to each side of the equation. 13 + -13 + 4x = 11 + -13 Combine like terms: 13 + -13 = 0 0 + 4x = 11 + -13 4x = 11 + -13 Combine like terms: 11 + -13 = -2 4x = -2 Divide each side by '4'. x = -0.5 Simplifying x = -0.5
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