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Simplifying -3(x + -1) + 8(x + -3) = 6 + 17 + -5x Reorder the terms: -3(-1 + x) + 8(x + -3) = 6 + 17 + -5x (-1 * -3 + x * -3) + 8(x + -3) = 6 + 17 + -5x (3 + -3x) + 8(x + -3) = 6 + 17 + -5x Reorder the terms: 3 + -3x + 8(-3 + x) = 6 + 17 + -5x 3 + -3x + (-3 * 8 + x * 8) = 6 + 17 + -5x 3 + -3x + (-24 + 8x) = 6 + 17 + -5x Reorder the terms: 3 + -24 + -3x + 8x = 6 + 17 + -5x Combine like terms: 3 + -24 = -21 -21 + -3x + 8x = 6 + 17 + -5x Combine like terms: -3x + 8x = 5x -21 + 5x = 6 + 17 + -5x Combine like terms: 6 + 17 = 23 -21 + 5x = 23 + -5x Solving -21 + 5x = 23 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -21 + 5x + 5x = 23 + -5x + 5x Combine like terms: 5x + 5x = 10x -21 + 10x = 23 + -5x + 5x Combine like terms: -5x + 5x = 0 -21 + 10x = 23 + 0 -21 + 10x = 23 Add '21' to each side of the equation. -21 + 21 + 10x = 23 + 21 Combine like terms: -21 + 21 = 0 0 + 10x = 23 + 21 10x = 23 + 21 Combine like terms: 23 + 21 = 44 10x = 44 Divide each side by '10'. x = 4.4 Simplifying x = 4.4
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