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Simplifying 23 + -6(x + -2) = 5(2x + -1) Reorder the terms: 23 + -6(-2 + x) = 5(2x + -1) 23 + (-2 * -6 + x * -6) = 5(2x + -1) 23 + (12 + -6x) = 5(2x + -1) Combine like terms: 23 + 12 = 35 35 + -6x = 5(2x + -1) Reorder the terms: 35 + -6x = 5(-1 + 2x) 35 + -6x = (-1 * 5 + 2x * 5) 35 + -6x = (-5 + 10x) Solving 35 + -6x = -5 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 35 + -6x + -10x = -5 + 10x + -10x Combine like terms: -6x + -10x = -16x 35 + -16x = -5 + 10x + -10x Combine like terms: 10x + -10x = 0 35 + -16x = -5 + 0 35 + -16x = -5 Add '-35' to each side of the equation. 35 + -35 + -16x = -5 + -35 Combine like terms: 35 + -35 = 0 0 + -16x = -5 + -35 -16x = -5 + -35 Combine like terms: -5 + -35 = -40 -16x = -40 Divide each side by '-16'. x = 2.5 Simplifying x = 2.5
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