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Simplifying 4(3 + -1x) + 11 = -11(x + -3) + -3 (3 * 4 + -1x * 4) + 11 = -11(x + -3) + -3 (12 + -4x) + 11 = -11(x + -3) + -3 Reorder the terms: 12 + 11 + -4x = -11(x + -3) + -3 Combine like terms: 12 + 11 = 23 23 + -4x = -11(x + -3) + -3 Reorder the terms: 23 + -4x = -11(-3 + x) + -3 23 + -4x = (-3 * -11 + x * -11) + -3 23 + -4x = (33 + -11x) + -3 Reorder the terms: 23 + -4x = 33 + -3 + -11x Combine like terms: 33 + -3 = 30 23 + -4x = 30 + -11x Solving 23 + -4x = 30 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. 23 + -4x + 11x = 30 + -11x + 11x Combine like terms: -4x + 11x = 7x 23 + 7x = 30 + -11x + 11x Combine like terms: -11x + 11x = 0 23 + 7x = 30 + 0 23 + 7x = 30 Add '-23' to each side of the equation. 23 + -23 + 7x = 30 + -23 Combine like terms: 23 + -23 = 0 0 + 7x = 30 + -23 7x = 30 + -23 Combine like terms: 30 + -23 = 7 7x = 7 Divide each side by '7'. x = 1 Simplifying x = 1
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