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Simplifying 10 + -2(x + 3) = 8 + 2(2x + 5) Reorder the terms: 10 + -2(3 + x) = 8 + 2(2x + 5) 10 + (3 * -2 + x * -2) = 8 + 2(2x + 5) 10 + (-6 + -2x) = 8 + 2(2x + 5) Combine like terms: 10 + -6 = 4 4 + -2x = 8 + 2(2x + 5) Reorder the terms: 4 + -2x = 8 + 2(5 + 2x) 4 + -2x = 8 + (5 * 2 + 2x * 2) 4 + -2x = 8 + (10 + 4x) Combine like terms: 8 + 10 = 18 4 + -2x = 18 + 4x Solving 4 + -2x = 18 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 4 + -2x + -4x = 18 + 4x + -4x Combine like terms: -2x + -4x = -6x 4 + -6x = 18 + 4x + -4x Combine like terms: 4x + -4x = 0 4 + -6x = 18 + 0 4 + -6x = 18 Add '-4' to each side of the equation. 4 + -4 + -6x = 18 + -4 Combine like terms: 4 + -4 = 0 0 + -6x = 18 + -4 -6x = 18 + -4 Combine like terms: 18 + -4 = 14 -6x = 14 Divide each side by '-6'. x = -2.333333333 Simplifying x = -2.333333333
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