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Simplifying 10 + -2(x + 3) = 8 + 5(2x + 5) Reorder the terms: 10 + -2(3 + x) = 8 + 5(2x + 5) 10 + (3 * -2 + x * -2) = 8 + 5(2x + 5) 10 + (-6 + -2x) = 8 + 5(2x + 5) Combine like terms: 10 + -6 = 4 4 + -2x = 8 + 5(2x + 5) Reorder the terms: 4 + -2x = 8 + 5(5 + 2x) 4 + -2x = 8 + (5 * 5 + 2x * 5) 4 + -2x = 8 + (25 + 10x) Combine like terms: 8 + 25 = 33 4 + -2x = 33 + 10x Solving 4 + -2x = 33 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 4 + -2x + -10x = 33 + 10x + -10x Combine like terms: -2x + -10x = -12x 4 + -12x = 33 + 10x + -10x Combine like terms: 10x + -10x = 0 4 + -12x = 33 + 0 4 + -12x = 33 Add '-4' to each side of the equation. 4 + -4 + -12x = 33 + -4 Combine like terms: 4 + -4 = 0 0 + -12x = 33 + -4 -12x = 33 + -4 Combine like terms: 33 + -4 = 29 -12x = 29 Divide each side by '-12'. x = -2.416666667 Simplifying x = -2.416666667
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