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Simplifying 2x + -5(x + 6) = 4(x + -11) Reorder the terms: 2x + -5(6 + x) = 4(x + -11) 2x + (6 * -5 + x * -5) = 4(x + -11) 2x + (-30 + -5x) = 4(x + -11) Reorder the terms: -30 + 2x + -5x = 4(x + -11) Combine like terms: 2x + -5x = -3x -30 + -3x = 4(x + -11) Reorder the terms: -30 + -3x = 4(-11 + x) -30 + -3x = (-11 * 4 + x * 4) -30 + -3x = (-44 + 4x) Solving -30 + -3x = -44 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -30 + -3x + -4x = -44 + 4x + -4x Combine like terms: -3x + -4x = -7x -30 + -7x = -44 + 4x + -4x Combine like terms: 4x + -4x = 0 -30 + -7x = -44 + 0 -30 + -7x = -44 Add '30' to each side of the equation. -30 + 30 + -7x = -44 + 30 Combine like terms: -30 + 30 = 0 0 + -7x = -44 + 30 -7x = -44 + 30 Combine like terms: -44 + 30 = -14 -7x = -14 Divide each side by '-7'. x = 2 Simplifying x = 2
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