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Simplifying 1 + 9(x + -4) = 7 + -9(x + -5) Reorder the terms: 1 + 9(-4 + x) = 7 + -9(x + -5) 1 + (-4 * 9 + x * 9) = 7 + -9(x + -5) 1 + (-36 + 9x) = 7 + -9(x + -5) Combine like terms: 1 + -36 = -35 -35 + 9x = 7 + -9(x + -5) Reorder the terms: -35 + 9x = 7 + -9(-5 + x) -35 + 9x = 7 + (-5 * -9 + x * -9) -35 + 9x = 7 + (45 + -9x) Combine like terms: 7 + 45 = 52 -35 + 9x = 52 + -9x Solving -35 + 9x = 52 + -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. -35 + 9x + 9x = 52 + -9x + 9x Combine like terms: 9x + 9x = 18x -35 + 18x = 52 + -9x + 9x Combine like terms: -9x + 9x = 0 -35 + 18x = 52 + 0 -35 + 18x = 52 Add '35' to each side of the equation. -35 + 35 + 18x = 52 + 35 Combine like terms: -35 + 35 = 0 0 + 18x = 52 + 35 18x = 52 + 35 Combine like terms: 52 + 35 = 87 18x = 87 Divide each side by '18'. x = 4.833333333 Simplifying x = 4.833333333
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