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Simplifying 4 + -1(2x + 1) = -11 + 2(x + -3) Reorder the terms: 4 + -1(1 + 2x) = -11 + 2(x + -3) 4 + (1 * -1 + 2x * -1) = -11 + 2(x + -3) 4 + (-1 + -2x) = -11 + 2(x + -3) Combine like terms: 4 + -1 = 3 3 + -2x = -11 + 2(x + -3) Reorder the terms: 3 + -2x = -11 + 2(-3 + x) 3 + -2x = -11 + (-3 * 2 + x * 2) 3 + -2x = -11 + (-6 + 2x) Combine like terms: -11 + -6 = -17 3 + -2x = -17 + 2x Solving 3 + -2x = -17 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 3 + -2x + -2x = -17 + 2x + -2x Combine like terms: -2x + -2x = -4x 3 + -4x = -17 + 2x + -2x Combine like terms: 2x + -2x = 0 3 + -4x = -17 + 0 3 + -4x = -17 Add '-3' to each side of the equation. 3 + -3 + -4x = -17 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = -17 + -3 -4x = -17 + -3 Combine like terms: -17 + -3 = -20 -4x = -20 Divide each side by '-4'. x = 5 Simplifying x = 5
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