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Simplifying 5(1 + 8x) = -37 + -2x (1 * 5 + 8x * 5) = -37 + -2x (5 + 40x) = -37 + -2x Solving 5 + 40x = -37 + -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. 5 + 40x + 2x = -37 + -2x + 2x Combine like terms: 40x + 2x = 42x 5 + 42x = -37 + -2x + 2x Combine like terms: -2x + 2x = 0 5 + 42x = -37 + 0 5 + 42x = -37 Add '-5' to each side of the equation. 5 + -5 + 42x = -37 + -5 Combine like terms: 5 + -5 = 0 0 + 42x = -37 + -5 42x = -37 + -5 Combine like terms: -37 + -5 = -42 42x = -42 Divide each side by '42'. x = -1 Simplifying x = -1
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