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Simplifying 6 + 6(x + -4) = 99 + -9(x + -9) Reorder the terms: 6 + 6(-4 + x) = 99 + -9(x + -9) 6 + (-4 * 6 + x * 6) = 99 + -9(x + -9) 6 + (-24 + 6x) = 99 + -9(x + -9) Combine like terms: 6 + -24 = -18 -18 + 6x = 99 + -9(x + -9) Reorder the terms: -18 + 6x = 99 + -9(-9 + x) -18 + 6x = 99 + (-9 * -9 + x * -9) -18 + 6x = 99 + (81 + -9x) Combine like terms: 99 + 81 = 180 -18 + 6x = 180 + -9x Solving -18 + 6x = 180 + -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 + 6x + 9x = 180 + -9x + 9x Combine like terms: 6x + 9x = 15x -18 + 15x = 180 + -9x + 9x Combine like terms: -9x + 9x = 0 -18 + 15x = 180 + 0 -18 + 15x = 180 Add '18' to each side of the equation. -18 + 18 + 15x = 180 + 18 Combine like terms: -18 + 18 = 0 0 + 15x = 180 + 18 15x = 180 + 18 Combine like terms: 180 + 18 = 198 15x = 198 Divide each side by '15'. x = 13.2 Simplifying x = 13.2
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