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Simplifying 3 + -1(3x + 10) = 23 + -8x Reorder the terms: 3 + -1(10 + 3x) = 23 + -8x 3 + (10 * -1 + 3x * -1) = 23 + -8x 3 + (-10 + -3x) = 23 + -8x Combine like terms: 3 + -10 = -7 -7 + -3x = 23 + -8x Solving -7 + -3x = 23 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -7 + -3x + 8x = 23 + -8x + 8x Combine like terms: -3x + 8x = 5x -7 + 5x = 23 + -8x + 8x Combine like terms: -8x + 8x = 0 -7 + 5x = 23 + 0 -7 + 5x = 23 Add '7' to each side of the equation. -7 + 7 + 5x = 23 + 7 Combine like terms: -7 + 7 = 0 0 + 5x = 23 + 7 5x = 23 + 7 Combine like terms: 23 + 7 = 30 5x = 30 Divide each side by '5'. x = 6 Simplifying x = 6
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