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Simplifying 3(x + -1) + 2(5x + -10) = 8x + 9 Reorder the terms: 3(-1 + x) + 2(5x + -10) = 8x + 9 (-1 * 3 + x * 3) + 2(5x + -10) = 8x + 9 (-3 + 3x) + 2(5x + -10) = 8x + 9 Reorder the terms: -3 + 3x + 2(-10 + 5x) = 8x + 9 -3 + 3x + (-10 * 2 + 5x * 2) = 8x + 9 -3 + 3x + (-20 + 10x) = 8x + 9 Reorder the terms: -3 + -20 + 3x + 10x = 8x + 9 Combine like terms: -3 + -20 = -23 -23 + 3x + 10x = 8x + 9 Combine like terms: 3x + 10x = 13x -23 + 13x = 8x + 9 Reorder the terms: -23 + 13x = 9 + 8x Solving -23 + 13x = 9 + 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. -23 + 13x + -8x = 9 + 8x + -8x Combine like terms: 13x + -8x = 5x -23 + 5x = 9 + 8x + -8x Combine like terms: 8x + -8x = 0 -23 + 5x = 9 + 0 -23 + 5x = 9 Add '23' to each side of the equation. -23 + 23 + 5x = 9 + 23 Combine like terms: -23 + 23 = 0 0 + 5x = 9 + 23 5x = 9 + 23 Combine like terms: 9 + 23 = 32 5x = 32 Divide each side by '5'. x = 6.4 Simplifying x = 6.4
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