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Simplifying -8 + -8(x + -3) = 5(x + 9) + 7 Reorder the terms: -8 + -8(-3 + x) = 5(x + 9) + 7 -8 + (-3 * -8 + x * -8) = 5(x + 9) + 7 -8 + (24 + -8x) = 5(x + 9) + 7 Combine like terms: -8 + 24 = 16 16 + -8x = 5(x + 9) + 7 Reorder the terms: 16 + -8x = 5(9 + x) + 7 16 + -8x = (9 * 5 + x * 5) + 7 16 + -8x = (45 + 5x) + 7 Reorder the terms: 16 + -8x = 45 + 7 + 5x Combine like terms: 45 + 7 = 52 16 + -8x = 52 + 5x Solving 16 + -8x = 52 + 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 = 52 + 5x + -5x Combine like terms: -8x + -5x = -13x 16 + -13x = 52 + 5x + -5x Combine like terms: 5x + -5x = 0 16 + -13x = 52 + 0 16 + -13x = 52 Add '-16' to each side of the equation. 16 + -16 + -13x = 52 + -16 Combine like terms: 16 + -16 = 0 0 + -13x = 52 + -16 -13x = 52 + -16 Combine like terms: 52 + -16 = 36 -13x = 36 Divide each side by '-13'. x = -2.769230769 Simplifying x = -2.769230769
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