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Simplifying 4(x + -11) + -6 = 31x + -185 Reorder the terms: 4(-11 + x) + -6 = 31x + -185 (-11 * 4 + x * 4) + -6 = 31x + -185 (-44 + 4x) + -6 = 31x + -185 Reorder the terms: -44 + -6 + 4x = 31x + -185 Combine like terms: -44 + -6 = -50 -50 + 4x = 31x + -185 Reorder the terms: -50 + 4x = -185 + 31x Solving -50 + 4x = -185 + 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. -50 + 4x + -31x = -185 + 31x + -31x Combine like terms: 4x + -31x = -27x -50 + -27x = -185 + 31x + -31x Combine like terms: 31x + -31x = 0 -50 + -27x = -185 + 0 -50 + -27x = -185 Add '50' to each side of the equation. -50 + 50 + -27x = -185 + 50 Combine like terms: -50 + 50 = 0 0 + -27x = -185 + 50 -27x = -185 + 50 Combine like terms: -185 + 50 = -135 -27x = -135 Divide each side by '-27'. x = 5 Simplifying x = 5
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