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Simplifying 2x + -9(2x + 5) = 7(2x + 3) Reorder the terms: 2x + -9(5 + 2x) = 7(2x + 3) 2x + (5 * -9 + 2x * -9) = 7(2x + 3) 2x + (-45 + -18x) = 7(2x + 3) Reorder the terms: -45 + 2x + -18x = 7(2x + 3) Combine like terms: 2x + -18x = -16x -45 + -16x = 7(2x + 3) Reorder the terms: -45 + -16x = 7(3 + 2x) -45 + -16x = (3 * 7 + 2x * 7) -45 + -16x = (21 + 14x) Solving -45 + -16x = 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 + -16x + -14x = 21 + 14x + -14x Combine like terms: -16x + -14x = -30x -45 + -30x = 21 + 14x + -14x Combine like terms: 14x + -14x = 0 -45 + -30x = 21 + 0 -45 + -30x = 21 Add '45' to each side of the equation. -45 + 45 + -30x = 21 + 45 Combine like terms: -45 + 45 = 0 0 + -30x = 21 + 45 -30x = 21 + 45 Combine like terms: 21 + 45 = 66 -30x = 66 Divide each side by '-30'. x = -2.2 Simplifying x = -2.2
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