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Simplifying 3(15x + -27) = 3 + -2(x + 7) Reorder the terms: 3(-27 + 15x) = 3 + -2(x + 7) (-27 * 3 + 15x * 3) = 3 + -2(x + 7) (-81 + 45x) = 3 + -2(x + 7) Reorder the terms: -81 + 45x = 3 + -2(7 + x) -81 + 45x = 3 + (7 * -2 + x * -2) -81 + 45x = 3 + (-14 + -2x) Combine like terms: 3 + -14 = -11 -81 + 45x = -11 + -2x Solving -81 + 45x = -11 + -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. -81 + 45x + 2x = -11 + -2x + 2x Combine like terms: 45x + 2x = 47x -81 + 47x = -11 + -2x + 2x Combine like terms: -2x + 2x = 0 -81 + 47x = -11 + 0 -81 + 47x = -11 Add '81' to each side of the equation. -81 + 81 + 47x = -11 + 81 Combine like terms: -81 + 81 = 0 0 + 47x = -11 + 81 47x = -11 + 81 Combine like terms: -11 + 81 = 70 47x = 70 Divide each side by '47'. x = 1.489361702 Simplifying x = 1.489361702
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