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Simplifying 5(x + 2) + 8 = 2(x + -3) Reorder the terms: 5(2 + x) + 8 = 2(x + -3) (2 * 5 + x * 5) + 8 = 2(x + -3) (10 + 5x) + 8 = 2(x + -3) Reorder the terms: 10 + 8 + 5x = 2(x + -3) Combine like terms: 10 + 8 = 18 18 + 5x = 2(x + -3) Reorder the terms: 18 + 5x = 2(-3 + x) 18 + 5x = (-3 * 2 + x * 2) 18 + 5x = (-6 + 2x) Solving 18 + 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. 18 + 5x + -2x = -6 + 2x + -2x Combine like terms: 5x + -2x = 3x 18 + 3x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 18 + 3x = -6 + 0 18 + 3x = -6 Add '-18' to each side of the equation. 18 + -18 + 3x = -6 + -18 Combine like terms: 18 + -18 = 0 0 + 3x = -6 + -18 3x = -6 + -18 Combine like terms: -6 + -18 = -24 3x = -24 Divide each side by '3'. x = -8 Simplifying x = -8
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