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Simplifying 3(5x + 2) = -2x + 40 Reorder the terms: 3(2 + 5x) = -2x + 40 (2 * 3 + 5x * 3) = -2x + 40 (6 + 15x) = -2x + 40 Reorder the terms: 6 + 15x = 40 + -2x Solving 6 + 15x = 40 + -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. 6 + 15x + 2x = 40 + -2x + 2x Combine like terms: 15x + 2x = 17x 6 + 17x = 40 + -2x + 2x Combine like terms: -2x + 2x = 0 6 + 17x = 40 + 0 6 + 17x = 40 Add '-6' to each side of the equation. 6 + -6 + 17x = 40 + -6 Combine like terms: 6 + -6 = 0 0 + 17x = 40 + -6 17x = 40 + -6 Combine like terms: 40 + -6 = 34 17x = 34 Divide each side by '17'. x = 2 Simplifying x = 2
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