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Simplifying -5x + 8 + -9 = 3(x + -6) + -3 Reorder the terms: 8 + -9 + -5x = 3(x + -6) + -3 Combine like terms: 8 + -9 = -1 -1 + -5x = 3(x + -6) + -3 Reorder the terms: -1 + -5x = 3(-6 + x) + -3 -1 + -5x = (-6 * 3 + x * 3) + -3 -1 + -5x = (-18 + 3x) + -3 Reorder the terms: -1 + -5x = -18 + -3 + 3x Combine like terms: -18 + -3 = -21 -1 + -5x = -21 + 3x Solving -1 + -5x = -21 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -1 + -5x + -3x = -21 + 3x + -3x Combine like terms: -5x + -3x = -8x -1 + -8x = -21 + 3x + -3x Combine like terms: 3x + -3x = 0 -1 + -8x = -21 + 0 -1 + -8x = -21 Add '1' to each side of the equation. -1 + 1 + -8x = -21 + 1 Combine like terms: -1 + 1 = 0 0 + -8x = -21 + 1 -8x = -21 + 1 Combine like terms: -21 + 1 = -20 -8x = -20 Divide each side by '-8'. x = 2.5 Simplifying x = 2.5
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