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Simplifying 7 + 6(x + -9) = 3 + -9(x + -6) Reorder the terms: 7 + 6(-9 + x) = 3 + -9(x + -6) 7 + (-9 * 6 + x * 6) = 3 + -9(x + -6) 7 + (-54 + 6x) = 3 + -9(x + -6) Combine like terms: 7 + -54 = -47 -47 + 6x = 3 + -9(x + -6) Reorder the terms: -47 + 6x = 3 + -9(-6 + x) -47 + 6x = 3 + (-6 * -9 + x * -9) -47 + 6x = 3 + (54 + -9x) Combine like terms: 3 + 54 = 57 -47 + 6x = 57 + -9x Solving -47 + 6x = 57 + -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. -47 + 6x + 9x = 57 + -9x + 9x Combine like terms: 6x + 9x = 15x -47 + 15x = 57 + -9x + 9x Combine like terms: -9x + 9x = 0 -47 + 15x = 57 + 0 -47 + 15x = 57 Add '47' to each side of the equation. -47 + 47 + 15x = 57 + 47 Combine like terms: -47 + 47 = 0 0 + 15x = 57 + 47 15x = 57 + 47 Combine like terms: 57 + 47 = 104 15x = 104 Divide each side by '15'. x = 6.933333333 Simplifying x = 6.933333333
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