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Simplifying 4(3x + -11) + 23 = 5x + -14 Reorder the terms: 4(-11 + 3x) + 23 = 5x + -14 (-11 * 4 + 3x * 4) + 23 = 5x + -14 (-44 + 12x) + 23 = 5x + -14 Reorder the terms: -44 + 23 + 12x = 5x + -14 Combine like terms: -44 + 23 = -21 -21 + 12x = 5x + -14 Reorder the terms: -21 + 12x = -14 + 5x Solving -21 + 12x = -14 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -21 + 12x + -5x = -14 + 5x + -5x Combine like terms: 12x + -5x = 7x -21 + 7x = -14 + 5x + -5x Combine like terms: 5x + -5x = 0 -21 + 7x = -14 + 0 -21 + 7x = -14 Add '21' to each side of the equation. -21 + 21 + 7x = -14 + 21 Combine like terms: -21 + 21 = 0 0 + 7x = -14 + 21 7x = -14 + 21 Combine like terms: -14 + 21 = 7 7x = 7 Divide each side by '7'. x = 1 Simplifying x = 1
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