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Simplifying 22x + -3(6x + 11) = 2x + 13 Reorder the terms: 22x + -3(11 + 6x) = 2x + 13 22x + (11 * -3 + 6x * -3) = 2x + 13 22x + (-33 + -18x) = 2x + 13 Reorder the terms: -33 + 22x + -18x = 2x + 13 Combine like terms: 22x + -18x = 4x -33 + 4x = 2x + 13 Reorder the terms: -33 + 4x = 13 + 2x Solving -33 + 4x = 13 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -33 + 4x + -2x = 13 + 2x + -2x Combine like terms: 4x + -2x = 2x -33 + 2x = 13 + 2x + -2x Combine like terms: 2x + -2x = 0 -33 + 2x = 13 + 0 -33 + 2x = 13 Add '33' to each side of the equation. -33 + 33 + 2x = 13 + 33 Combine like terms: -33 + 33 = 0 0 + 2x = 13 + 33 2x = 13 + 33 Combine like terms: 13 + 33 = 46 2x = 46 Divide each side by '2'. x = 23 Simplifying x = 23
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