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Simplifying -1 + 3(5x + 7) = 37 + -2x Reorder the terms: -1 + 3(7 + 5x) = 37 + -2x -1 + (7 * 3 + 5x * 3) = 37 + -2x -1 + (21 + 15x) = 37 + -2x Combine like terms: -1 + 21 = 20 20 + 15x = 37 + -2x Solving 20 + 15x = 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. 20 + 15x + 2x = 37 + -2x + 2x Combine like terms: 15x + 2x = 17x 20 + 17x = 37 + -2x + 2x Combine like terms: -2x + 2x = 0 20 + 17x = 37 + 0 20 + 17x = 37 Add '-20' to each side of the equation. 20 + -20 + 17x = 37 + -20 Combine like terms: 20 + -20 = 0 0 + 17x = 37 + -20 17x = 37 + -20 Combine like terms: 37 + -20 = 17 17x = 17 Divide each side by '17'. x = 1 Simplifying x = 1
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