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Simplifying 10 + 2x = -8(4 + 5x) 10 + 2x = (4 * -8 + 5x * -8) 10 + 2x = (-32 + -40x) Solving 10 + 2x = -32 + -40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40x' to each side of the equation. 10 + 2x + 40x = -32 + -40x + 40x Combine like terms: 2x + 40x = 42x 10 + 42x = -32 + -40x + 40x Combine like terms: -40x + 40x = 0 10 + 42x = -32 + 0 10 + 42x = -32 Add '-10' to each side of the equation. 10 + -10 + 42x = -32 + -10 Combine like terms: 10 + -10 = 0 0 + 42x = -32 + -10 42x = -32 + -10 Combine like terms: -32 + -10 = -42 42x = -42 Divide each side by '42'. x = -1 Simplifying x = -1
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