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Simplifying 7 + 9(x + -6) = 4 + -2(x + -2) Reorder the terms: 7 + 9(-6 + x) = 4 + -2(x + -2) 7 + (-6 * 9 + x * 9) = 4 + -2(x + -2) 7 + (-54 + 9x) = 4 + -2(x + -2) Combine like terms: 7 + -54 = -47 -47 + 9x = 4 + -2(x + -2) Reorder the terms: -47 + 9x = 4 + -2(-2 + x) -47 + 9x = 4 + (-2 * -2 + x * -2) -47 + 9x = 4 + (4 + -2x) Combine like terms: 4 + 4 = 8 -47 + 9x = 8 + -2x Solving -47 + 9x = 8 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -47 + 9x + 2x = 8 + -2x + 2x Combine like terms: 9x + 2x = 11x -47 + 11x = 8 + -2x + 2x Combine like terms: -2x + 2x = 0 -47 + 11x = 8 + 0 -47 + 11x = 8 Add '47' to each side of the equation. -47 + 47 + 11x = 8 + 47 Combine like terms: -47 + 47 = 0 0 + 11x = 8 + 47 11x = 8 + 47 Combine like terms: 8 + 47 = 55 11x = 55 Divide each side by '11'. x = 5 Simplifying x = 5
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