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Simplifying 4(x + -11) + -3 = 31x + -182 Reorder the terms: 4(-11 + x) + -3 = 31x + -182 (-11 * 4 + x * 4) + -3 = 31x + -182 (-44 + 4x) + -3 = 31x + -182 Reorder the terms: -44 + -3 + 4x = 31x + -182 Combine like terms: -44 + -3 = -47 -47 + 4x = 31x + -182 Reorder the terms: -47 + 4x = -182 + 31x Solving -47 + 4x = -182 + 31x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-31x' to each side of the equation. -47 + 4x + -31x = -182 + 31x + -31x Combine like terms: 4x + -31x = -27x -47 + -27x = -182 + 31x + -31x Combine like terms: 31x + -31x = 0 -47 + -27x = -182 + 0 -47 + -27x = -182 Add '47' to each side of the equation. -47 + 47 + -27x = -182 + 47 Combine like terms: -47 + 47 = 0 0 + -27x = -182 + 47 -27x = -182 + 47 Combine like terms: -182 + 47 = -135 -27x = -135 Divide each side by '-27'. x = 5 Simplifying x = 5
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