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Simplifying 2x + -9(2y + 5) = 7(2x + 3) Reorder the terms: 2x + -9(5 + 2y) = 7(2x + 3) 2x + (5 * -9 + 2y * -9) = 7(2x + 3) 2x + (-45 + -18y) = 7(2x + 3) Reorder the terms: -45 + 2x + -18y = 7(2x + 3) Reorder the terms: -45 + 2x + -18y = 7(3 + 2x) -45 + 2x + -18y = (3 * 7 + 2x * 7) -45 + 2x + -18y = (21 + 14x) Solving -45 + 2x + -18y = 21 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -45 + 2x + -14x + -18y = 21 + 14x + -14x Combine like terms: 2x + -14x = -12x -45 + -12x + -18y = 21 + 14x + -14x Combine like terms: 14x + -14x = 0 -45 + -12x + -18y = 21 + 0 -45 + -12x + -18y = 21 Add '45' to each side of the equation. -45 + -12x + 45 + -18y = 21 + 45 Reorder the terms: -45 + 45 + -12x + -18y = 21 + 45 Combine like terms: -45 + 45 = 0 0 + -12x + -18y = 21 + 45 -12x + -18y = 21 + 45 Combine like terms: 21 + 45 = 66 -12x + -18y = 66 Add '18y' to each side of the equation. -12x + -18y + 18y = 66 + 18y Combine like terms: -18y + 18y = 0 -12x + 0 = 66 + 18y -12x = 66 + 18y Divide each side by '-12'. x = -5.5 + -1.5y Simplifying x = -5.5 + -1.5y
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