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Simplifying 6x + -2 = 9(x + -2) + -7 Reorder the terms: -2 + 6x = 9(x + -2) + -7 Reorder the terms: -2 + 6x = 9(-2 + x) + -7 -2 + 6x = (-2 * 9 + x * 9) + -7 -2 + 6x = (-18 + 9x) + -7 Reorder the terms: -2 + 6x = -18 + -7 + 9x Combine like terms: -18 + -7 = -25 -2 + 6x = -25 + 9x Solving -2 + 6x = -25 + 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. -2 + 6x + -9x = -25 + 9x + -9x Combine like terms: 6x + -9x = -3x -2 + -3x = -25 + 9x + -9x Combine like terms: 9x + -9x = 0 -2 + -3x = -25 + 0 -2 + -3x = -25 Add '2' to each side of the equation. -2 + 2 + -3x = -25 + 2 Combine like terms: -2 + 2 = 0 0 + -3x = -25 + 2 -3x = -25 + 2 Combine like terms: -25 + 2 = -23 -3x = -23 Divide each side by '-3'. x = 7.666666667 Simplifying x = 7.666666667
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