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Simplifying 8(x + -3) + -3(x + -1) = 6x + 7 + -5 Reorder the terms: 8(-3 + x) + -3(x + -1) = 6x + 7 + -5 (-3 * 8 + x * 8) + -3(x + -1) = 6x + 7 + -5 (-24 + 8x) + -3(x + -1) = 6x + 7 + -5 Reorder the terms: -24 + 8x + -3(-1 + x) = 6x + 7 + -5 -24 + 8x + (-1 * -3 + x * -3) = 6x + 7 + -5 -24 + 8x + (3 + -3x) = 6x + 7 + -5 Reorder the terms: -24 + 3 + 8x + -3x = 6x + 7 + -5 Combine like terms: -24 + 3 = -21 -21 + 8x + -3x = 6x + 7 + -5 Combine like terms: 8x + -3x = 5x -21 + 5x = 6x + 7 + -5 Reorder the terms: -21 + 5x = 7 + -5 + 6x Combine like terms: 7 + -5 = 2 -21 + 5x = 2 + 6x Solving -21 + 5x = 2 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -21 + 5x + -6x = 2 + 6x + -6x Combine like terms: 5x + -6x = -1x -21 + -1x = 2 + 6x + -6x Combine like terms: 6x + -6x = 0 -21 + -1x = 2 + 0 -21 + -1x = 2 Add '21' to each side of the equation. -21 + 21 + -1x = 2 + 21 Combine like terms: -21 + 21 = 0 0 + -1x = 2 + 21 -1x = 2 + 21 Combine like terms: 2 + 21 = 23 -1x = 23 Divide each side by '-1'. x = -23 Simplifying x = -23
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