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Simplifying 9 + 9(x + -3) = 4 + -9(x + -4) Reorder the terms: 9 + 9(-3 + x) = 4 + -9(x + -4) 9 + (-3 * 9 + x * 9) = 4 + -9(x + -4) 9 + (-27 + 9x) = 4 + -9(x + -4) Combine like terms: 9 + -27 = -18 -18 + 9x = 4 + -9(x + -4) Reorder the terms: -18 + 9x = 4 + -9(-4 + x) -18 + 9x = 4 + (-4 * -9 + x * -9) -18 + 9x = 4 + (36 + -9x) Combine like terms: 4 + 36 = 40 -18 + 9x = 40 + -9x Solving -18 + 9x = 40 + -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. -18 + 9x + 9x = 40 + -9x + 9x Combine like terms: 9x + 9x = 18x -18 + 18x = 40 + -9x + 9x Combine like terms: -9x + 9x = 0 -18 + 18x = 40 + 0 -18 + 18x = 40 Add '18' to each side of the equation. -18 + 18 + 18x = 40 + 18 Combine like terms: -18 + 18 = 0 0 + 18x = 40 + 18 18x = 40 + 18 Combine like terms: 40 + 18 = 58 18x = 58 Divide each side by '18'. x = 3.222222222 Simplifying x = 3.222222222
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