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Simplifying 3(1 + 5x) = -37 + 7x (1 * 3 + 5x * 3) = -37 + 7x (3 + 15x) = -37 + 7x Solving 3 + 15x = -37 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 3 + 15x + -7x = -37 + 7x + -7x Combine like terms: 15x + -7x = 8x 3 + 8x = -37 + 7x + -7x Combine like terms: 7x + -7x = 0 3 + 8x = -37 + 0 3 + 8x = -37 Add '-3' to each side of the equation. 3 + -3 + 8x = -37 + -3 Combine like terms: 3 + -3 = 0 0 + 8x = -37 + -3 8x = -37 + -3 Combine like terms: -37 + -3 = -40 8x = -40 Divide each side by '8'. x = -5 Simplifying x = -5
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