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Simplifying 9(5x + -1) + -9(3x) = 9(4x + 3) Reorder the terms: 9(-1 + 5x) + -9(3x) = 9(4x + 3) (-1 * 9 + 5x * 9) + -9(3x) = 9(4x + 3) (-9 + 45x) + -9(3x) = 9(4x + 3) Remove parenthesis around (3x) -9 + 45x + -9 * 3x = 9(4x + 3) Multiply -9 * 3 -9 + 45x + -27x = 9(4x + 3) Combine like terms: 45x + -27x = 18x -9 + 18x = 9(4x + 3) Reorder the terms: -9 + 18x = 9(3 + 4x) -9 + 18x = (3 * 9 + 4x * 9) -9 + 18x = (27 + 36x) Solving -9 + 18x = 27 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. -9 + 18x + -36x = 27 + 36x + -36x Combine like terms: 18x + -36x = -18x -9 + -18x = 27 + 36x + -36x Combine like terms: 36x + -36x = 0 -9 + -18x = 27 + 0 -9 + -18x = 27 Add '9' to each side of the equation. -9 + 9 + -18x = 27 + 9 Combine like terms: -9 + 9 = 0 0 + -18x = 27 + 9 -18x = 27 + 9 Combine like terms: 27 + 9 = 36 -18x = 36 Divide each side by '-18'. x = -2 Simplifying x = -2
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