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Simplifying 10 + -2(x + 3) = 8 + 3(2x + 5) Reorder the terms: 10 + -2(3 + x) = 8 + 3(2x + 5) 10 + (3 * -2 + x * -2) = 8 + 3(2x + 5) 10 + (-6 + -2x) = 8 + 3(2x + 5) Combine like terms: 10 + -6 = 4 4 + -2x = 8 + 3(2x + 5) Reorder the terms: 4 + -2x = 8 + 3(5 + 2x) 4 + -2x = 8 + (5 * 3 + 2x * 3) 4 + -2x = 8 + (15 + 6x) Combine like terms: 8 + 15 = 23 4 + -2x = 23 + 6x Solving 4 + -2x = 23 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 4 + -2x + -6x = 23 + 6x + -6x Combine like terms: -2x + -6x = -8x 4 + -8x = 23 + 6x + -6x Combine like terms: 6x + -6x = 0 4 + -8x = 23 + 0 4 + -8x = 23 Add '-4' to each side of the equation. 4 + -4 + -8x = 23 + -4 Combine like terms: 4 + -4 = 0 0 + -8x = 23 + -4 -8x = 23 + -4 Combine like terms: 23 + -4 = 19 -8x = 19 Divide each side by '-8'. x = -2.375 Simplifying x = -2.375
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