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Simplifying -8(x + 2) = -5(x + -3) + 8 Reorder the terms: -8(2 + x) = -5(x + -3) + 8 (2 * -8 + x * -8) = -5(x + -3) + 8 (-16 + -8x) = -5(x + -3) + 8 Reorder the terms: -16 + -8x = -5(-3 + x) + 8 -16 + -8x = (-3 * -5 + x * -5) + 8 -16 + -8x = (15 + -5x) + 8 Reorder the terms: -16 + -8x = 15 + 8 + -5x Combine like terms: 15 + 8 = 23 -16 + -8x = 23 + -5x Solving -16 + -8x = 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. -16 + -8x + 5x = 23 + -5x + 5x Combine like terms: -8x + 5x = -3x -16 + -3x = 23 + -5x + 5x Combine like terms: -5x + 5x = 0 -16 + -3x = 23 + 0 -16 + -3x = 23 Add '16' to each side of the equation. -16 + 16 + -3x = 23 + 16 Combine like terms: -16 + 16 = 0 0 + -3x = 23 + 16 -3x = 23 + 16 Combine like terms: 23 + 16 = 39 -3x = 39 Divide each side by '-3'. x = -13 Simplifying x = -13
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