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Simplifying 8 + -9(x + 3) = 9(x + -7) Reorder the terms: 8 + -9(3 + x) = 9(x + -7) 8 + (3 * -9 + x * -9) = 9(x + -7) 8 + (-27 + -9x) = 9(x + -7) Combine like terms: 8 + -27 = -19 -19 + -9x = 9(x + -7) Reorder the terms: -19 + -9x = 9(-7 + x) -19 + -9x = (-7 * 9 + x * 9) -19 + -9x = (-63 + 9x) Solving -19 + -9x = -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. -19 + -9x + -9x = -63 + 9x + -9x Combine like terms: -9x + -9x = -18x -19 + -18x = -63 + 9x + -9x Combine like terms: 9x + -9x = 0 -19 + -18x = -63 + 0 -19 + -18x = -63 Add '19' to each side of the equation. -19 + 19 + -18x = -63 + 19 Combine like terms: -19 + 19 = 0 0 + -18x = -63 + 19 -18x = -63 + 19 Combine like terms: -63 + 19 = -44 -18x = -44 Divide each side by '-18'. x = 2.444444444 Simplifying x = 2.444444444
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