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Simplifying 5 + -1(2 + -3x) = 11 + -1(-4x) 5 + (2 * -1 + -3x * -1) = 11 + -1(-4x) 5 + (-2 + 3x) = 11 + -1(-4x) Combine like terms: 5 + -2 = 3 3 + 3x = 11 + -1(-4x) Remove parenthesis around (-4x) 3 + 3x = 11 + -1 * -4x Multiply -1 * -4 3 + 3x = 11 + 4x Solving 3 + 3x = 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. 3 + 3x + -4x = 11 + 4x + -4x Combine like terms: 3x + -4x = -1x 3 + -1x = 11 + 4x + -4x Combine like terms: 4x + -4x = 0 3 + -1x = 11 + 0 3 + -1x = 11 Add '-3' to each side of the equation. 3 + -3 + -1x = 11 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 11 + -3 -1x = 11 + -3 Combine like terms: 11 + -3 = 8 -1x = 8 Divide each side by '-1'. x = -8 Simplifying x = -8
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