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Simplifying 2(3 + -7x) + 3x = 3(5 + 2x) (3 * 2 + -7x * 2) + 3x = 3(5 + 2x) (6 + -14x) + 3x = 3(5 + 2x) Combine like terms: -14x + 3x = -11x 6 + -11x = 3(5 + 2x) 6 + -11x = (5 * 3 + 2x * 3) 6 + -11x = (15 + 6x) Solving 6 + -11x = 15 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 6 + -11x + -6x = 15 + 6x + -6x Combine like terms: -11x + -6x = -17x 6 + -17x = 15 + 6x + -6x Combine like terms: 6x + -6x = 0 6 + -17x = 15 + 0 6 + -17x = 15 Add '-6' to each side of the equation. 6 + -6 + -17x = 15 + -6 Combine like terms: 6 + -6 = 0 0 + -17x = 15 + -6 -17x = 15 + -6 Combine like terms: 15 + -6 = 9 -17x = 9 Divide each side by '-17'. x = -0.5294117647 Simplifying x = -0.5294117647
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