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Simplifying 2(5x + 27) = 4(7x + -9) Reorder the terms: 2(27 + 5x) = 4(7x + -9) (27 * 2 + 5x * 2) = 4(7x + -9) (54 + 10x) = 4(7x + -9) Reorder the terms: 54 + 10x = 4(-9 + 7x) 54 + 10x = (-9 * 4 + 7x * 4) 54 + 10x = (-36 + 28x) Solving 54 + 10x = -36 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. 54 + 10x + -28x = -36 + 28x + -28x Combine like terms: 10x + -28x = -18x 54 + -18x = -36 + 28x + -28x Combine like terms: 28x + -28x = 0 54 + -18x = -36 + 0 54 + -18x = -36 Add '-54' to each side of the equation. 54 + -54 + -18x = -36 + -54 Combine like terms: 54 + -54 = 0 0 + -18x = -36 + -54 -18x = -36 + -54 Combine like terms: -36 + -54 = -90 -18x = -90 Divide each side by '-18'. x = 5 Simplifying x = 5
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