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Simplifying x + -5(12 + 8x) + -3x + -1 = 23 x + (12 * -5 + 8x * -5) + -3x + -1 = 23 x + (-60 + -40x) + -3x + -1 = 23 Reorder the terms: -60 + -1 + x + -40x + -3x = 23 Combine like terms: -60 + -1 = -61 -61 + x + -40x + -3x = 23 Combine like terms: x + -40x = -39x -61 + -39x + -3x = 23 Combine like terms: -39x + -3x = -42x -61 + -42x = 23 Solving -61 + -42x = 23 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '61' to each side of the equation. -61 + 61 + -42x = 23 + 61 Combine like terms: -61 + 61 = 0 0 + -42x = 23 + 61 -42x = 23 + 61 Combine like terms: 23 + 61 = 84 -42x = 84 Divide each side by '-42'. x = -2 Simplifying x = -2
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