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Simplifying 2(x + -3) + 5(2x + -3) = 23 Reorder the terms: 2(-3 + x) + 5(2x + -3) = 23 (-3 * 2 + x * 2) + 5(2x + -3) = 23 (-6 + 2x) + 5(2x + -3) = 23 Reorder the terms: -6 + 2x + 5(-3 + 2x) = 23 -6 + 2x + (-3 * 5 + 2x * 5) = 23 -6 + 2x + (-15 + 10x) = 23 Reorder the terms: -6 + -15 + 2x + 10x = 23 Combine like terms: -6 + -15 = -21 -21 + 2x + 10x = 23 Combine like terms: 2x + 10x = 12x -21 + 12x = 23 Solving -21 + 12x = 23 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 12x = 23 + 21 Combine like terms: -21 + 21 = 0 0 + 12x = 23 + 21 12x = 23 + 21 Combine like terms: 23 + 21 = 44 12x = 44 Divide each side by '12'. x = 3.666666667 Simplifying x = 3.666666667
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