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Simplifying 5(x + 8) + 9 = 2(x + -3) Reorder the terms: 5(8 + x) + 9 = 2(x + -3) (8 * 5 + x * 5) + 9 = 2(x + -3) (40 + 5x) + 9 = 2(x + -3) Reorder the terms: 40 + 9 + 5x = 2(x + -3) Combine like terms: 40 + 9 = 49 49 + 5x = 2(x + -3) Reorder the terms: 49 + 5x = 2(-3 + x) 49 + 5x = (-3 * 2 + x * 2) 49 + 5x = (-6 + 2x) Solving 49 + 5x = -6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 49 + 5x + -2x = -6 + 2x + -2x Combine like terms: 5x + -2x = 3x 49 + 3x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 49 + 3x = -6 + 0 49 + 3x = -6 Add '-49' to each side of the equation. 49 + -49 + 3x = -6 + -49 Combine like terms: 49 + -49 = 0 0 + 3x = -6 + -49 3x = -6 + -49 Combine like terms: -6 + -49 = -55 3x = -55 Divide each side by '3'. x = -18.33333333 Simplifying x = -18.33333333
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