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Simplifying 4x + 11 = [-31] + -1[2x] Reorder the terms: 11 + 4x = [-31] + -1[2x] 11 + 4x = -31 + -1[2x] Remove brackets around [2x] 11 + 4x = -31 + -1 * 2x Multiply -1 * 2 11 + 4x = -31 + -2x Solving 11 + 4x = -31 + -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. 11 + 4x + 2x = -31 + -2x + 2x Combine like terms: 4x + 2x = 6x 11 + 6x = -31 + -2x + 2x Combine like terms: -2x + 2x = 0 11 + 6x = -31 + 0 11 + 6x = -31 Add '-11' to each side of the equation. 11 + -11 + 6x = -31 + -11 Combine like terms: 11 + -11 = 0 0 + 6x = -31 + -11 6x = -31 + -11 Combine like terms: -31 + -11 = -42 6x = -42 Divide each side by '6'. x = -7 Simplifying x = -7
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