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Simplifying 7x + -9 = 6(x + -2) + 9 Reorder the terms: -9 + 7x = 6(x + -2) + 9 Reorder the terms: -9 + 7x = 6(-2 + x) + 9 -9 + 7x = (-2 * 6 + x * 6) + 9 -9 + 7x = (-12 + 6x) + 9 Reorder the terms: -9 + 7x = -12 + 9 + 6x Combine like terms: -12 + 9 = -3 -9 + 7x = -3 + 6x Solving -9 + 7x = -3 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -9 + 7x + -6x = -3 + 6x + -6x Combine like terms: 7x + -6x = 1x -9 + 1x = -3 + 6x + -6x Combine like terms: 6x + -6x = 0 -9 + 1x = -3 + 0 -9 + 1x = -3 Add '9' to each side of the equation. -9 + 9 + 1x = -3 + 9 Combine like terms: -9 + 9 = 0 0 + 1x = -3 + 9 1x = -3 + 9 Combine like terms: -3 + 9 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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