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Simplifying 4x + 11 = -8 + 5(3x + -5) Reorder the terms: 11 + 4x = -8 + 5(3x + -5) Reorder the terms: 11 + 4x = -8 + 5(-5 + 3x) 11 + 4x = -8 + (-5 * 5 + 3x * 5) 11 + 4x = -8 + (-25 + 15x) Combine like terms: -8 + -25 = -33 11 + 4x = -33 + 15x Solving 11 + 4x = -33 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 11 + 4x + -15x = -33 + 15x + -15x Combine like terms: 4x + -15x = -11x 11 + -11x = -33 + 15x + -15x Combine like terms: 15x + -15x = 0 11 + -11x = -33 + 0 11 + -11x = -33 Add '-11' to each side of the equation. 11 + -11 + -11x = -33 + -11 Combine like terms: 11 + -11 = 0 0 + -11x = -33 + -11 -11x = -33 + -11 Combine like terms: -33 + -11 = -44 -11x = -44 Divide each side by '-11'. x = 4 Simplifying x = 4
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