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Simplifying 2x + 4(x + 9) = 9(x + 7) Reorder the terms: 2x + 4(9 + x) = 9(x + 7) 2x + (9 * 4 + x * 4) = 9(x + 7) 2x + (36 + 4x) = 9(x + 7) Reorder the terms: 36 + 2x + 4x = 9(x + 7) Combine like terms: 2x + 4x = 6x 36 + 6x = 9(x + 7) Reorder the terms: 36 + 6x = 9(7 + x) 36 + 6x = (7 * 9 + x * 9) 36 + 6x = (63 + 9x) Solving 36 + 6x = 63 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 36 + 6x + -9x = 63 + 9x + -9x Combine like terms: 6x + -9x = -3x 36 + -3x = 63 + 9x + -9x Combine like terms: 9x + -9x = 0 36 + -3x = 63 + 0 36 + -3x = 63 Add '-36' to each side of the equation. 36 + -36 + -3x = 63 + -36 Combine like terms: 36 + -36 = 0 0 + -3x = 63 + -36 -3x = 63 + -36 Combine like terms: 63 + -36 = 27 -3x = 27 Divide each side by '-3'. x = -9 Simplifying x = -9
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