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Simplifying 7 + 6(x + -2) = 9 + -2(x + -9) Reorder the terms: 7 + 6(-2 + x) = 9 + -2(x + -9) 7 + (-2 * 6 + x * 6) = 9 + -2(x + -9) 7 + (-12 + 6x) = 9 + -2(x + -9) Combine like terms: 7 + -12 = -5 -5 + 6x = 9 + -2(x + -9) Reorder the terms: -5 + 6x = 9 + -2(-9 + x) -5 + 6x = 9 + (-9 * -2 + x * -2) -5 + 6x = 9 + (18 + -2x) Combine like terms: 9 + 18 = 27 -5 + 6x = 27 + -2x Solving -5 + 6x = 27 + -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. -5 + 6x + 2x = 27 + -2x + 2x Combine like terms: 6x + 2x = 8x -5 + 8x = 27 + -2x + 2x Combine like terms: -2x + 2x = 0 -5 + 8x = 27 + 0 -5 + 8x = 27 Add '5' to each side of the equation. -5 + 5 + 8x = 27 + 5 Combine like terms: -5 + 5 = 0 0 + 8x = 27 + 5 8x = 27 + 5 Combine like terms: 27 + 5 = 32 8x = 32 Divide each side by '8'. x = 4 Simplifying x = 4
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