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Simplifying 4x + 5(3x + -2) = 11x + 22 Reorder the terms: 4x + 5(-2 + 3x) = 11x + 22 4x + (-2 * 5 + 3x * 5) = 11x + 22 4x + (-10 + 15x) = 11x + 22 Reorder the terms: -10 + 4x + 15x = 11x + 22 Combine like terms: 4x + 15x = 19x -10 + 19x = 11x + 22 Reorder the terms: -10 + 19x = 22 + 11x Solving -10 + 19x = 22 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -10 + 19x + -11x = 22 + 11x + -11x Combine like terms: 19x + -11x = 8x -10 + 8x = 22 + 11x + -11x Combine like terms: 11x + -11x = 0 -10 + 8x = 22 + 0 -10 + 8x = 22 Add '10' to each side of the equation. -10 + 10 + 8x = 22 + 10 Combine like terms: -10 + 10 = 0 0 + 8x = 22 + 10 8x = 22 + 10 Combine like terms: 22 + 10 = 32 8x = 32 Divide each side by '8'. x = 4 Simplifying x = 4
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