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Simplifying -3(x + -1) + 8(x + -3) = 6x + 7x + -5x Reorder the terms: -3(-1 + x) + 8(x + -3) = 6x + 7x + -5x (-1 * -3 + x * -3) + 8(x + -3) = 6x + 7x + -5x (3 + -3x) + 8(x + -3) = 6x + 7x + -5x Reorder the terms: 3 + -3x + 8(-3 + x) = 6x + 7x + -5x 3 + -3x + (-3 * 8 + x * 8) = 6x + 7x + -5x 3 + -3x + (-24 + 8x) = 6x + 7x + -5x Reorder the terms: 3 + -24 + -3x + 8x = 6x + 7x + -5x Combine like terms: 3 + -24 = -21 -21 + -3x + 8x = 6x + 7x + -5x Combine like terms: -3x + 8x = 5x -21 + 5x = 6x + 7x + -5x Combine like terms: 6x + 7x = 13x -21 + 5x = 13x + -5x Combine like terms: 13x + -5x = 8x -21 + 5x = 8x Solving -21 + 5x = 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. -21 + 5x + -8x = 8x + -8x Combine like terms: 5x + -8x = -3x -21 + -3x = 8x + -8x Combine like terms: 8x + -8x = 0 -21 + -3x = 0 Add '21' to each side of the equation. -21 + 21 + -3x = 0 + 21 Combine like terms: -21 + 21 = 0 0 + -3x = 0 + 21 -3x = 0 + 21 Combine like terms: 0 + 21 = 21 -3x = 21 Divide each side by '-3'. x = -7 Simplifying x = -7
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