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Simplifying -10 + -23(x + 2) = 4 + 5(-6x + -3x) Reorder the terms: -10 + -23(2 + x) = 4 + 5(-6x + -3x) -10 + (2 * -23 + x * -23) = 4 + 5(-6x + -3x) -10 + (-46 + -23x) = 4 + 5(-6x + -3x) Combine like terms: -10 + -46 = -56 -56 + -23x = 4 + 5(-6x + -3x) Combine like terms: -6x + -3x = -9x -56 + -23x = 4 + 5(-9x) Remove parenthesis around (-9x) -56 + -23x = 4 + 5 * -9x Multiply 5 * -9 -56 + -23x = 4 + -45x Solving -56 + -23x = 4 + -45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '45x' to each side of the equation. -56 + -23x + 45x = 4 + -45x + 45x Combine like terms: -23x + 45x = 22x -56 + 22x = 4 + -45x + 45x Combine like terms: -45x + 45x = 0 -56 + 22x = 4 + 0 -56 + 22x = 4 Add '56' to each side of the equation. -56 + 56 + 22x = 4 + 56 Combine like terms: -56 + 56 = 0 0 + 22x = 4 + 56 22x = 4 + 56 Combine like terms: 4 + 56 = 60 22x = 60 Divide each side by '22'. x = 2.727272727 Simplifying x = 2.727272727
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