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Simplifying 23 + -6(x + -2) = 5(2x + -1) + 4x Reorder the terms: 23 + -6(-2 + x) = 5(2x + -1) + 4x 23 + (-2 * -6 + x * -6) = 5(2x + -1) + 4x 23 + (12 + -6x) = 5(2x + -1) + 4x Combine like terms: 23 + 12 = 35 35 + -6x = 5(2x + -1) + 4x Reorder the terms: 35 + -6x = 5(-1 + 2x) + 4x 35 + -6x = (-1 * 5 + 2x * 5) + 4x 35 + -6x = (-5 + 10x) + 4x Combine like terms: 10x + 4x = 14x 35 + -6x = -5 + 14x Solving 35 + -6x = -5 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 35 + -6x + -14x = -5 + 14x + -14x Combine like terms: -6x + -14x = -20x 35 + -20x = -5 + 14x + -14x Combine like terms: 14x + -14x = 0 35 + -20x = -5 + 0 35 + -20x = -5 Add '-35' to each side of the equation. 35 + -35 + -20x = -5 + -35 Combine like terms: 35 + -35 = 0 0 + -20x = -5 + -35 -20x = -5 + -35 Combine like terms: -5 + -35 = -40 -20x = -40 Divide each side by '-20'. x = 2 Simplifying x = 2
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