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Simplifying 5(1 + -6x) = 37 + 2x (1 * 5 + -6x * 5) = 37 + 2x (5 + -30x) = 37 + 2x Solving 5 + -30x = 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 + -30x + -2x = 37 + 2x + -2x Combine like terms: -30x + -2x = -32x 5 + -32x = 37 + 2x + -2x Combine like terms: 2x + -2x = 0 5 + -32x = 37 + 0 5 + -32x = 37 Add '-5' to each side of the equation. 5 + -5 + -32x = 37 + -5 Combine like terms: 5 + -5 = 0 0 + -32x = 37 + -5 -32x = 37 + -5 Combine like terms: 37 + -5 = 32 -32x = 32 Divide each side by '-32'. x = -1 Simplifying x = -1
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