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Simplifying 9x + 7 + -6(x + 1) = 6x + 3 Reorder the terms: 9x + 7 + -6(1 + x) = 6x + 3 9x + 7 + (1 * -6 + x * -6) = 6x + 3 9x + 7 + (-6 + -6x) = 6x + 3 Reorder the terms: 7 + -6 + 9x + -6x = 6x + 3 Combine like terms: 7 + -6 = 1 1 + 9x + -6x = 6x + 3 Combine like terms: 9x + -6x = 3x 1 + 3x = 6x + 3 Reorder the terms: 1 + 3x = 3 + 6x Solving 1 + 3x = 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. 1 + 3x + -6x = 3 + 6x + -6x Combine like terms: 3x + -6x = -3x 1 + -3x = 3 + 6x + -6x Combine like terms: 6x + -6x = 0 1 + -3x = 3 + 0 1 + -3x = 3 Add '-1' to each side of the equation. 1 + -1 + -3x = 3 + -1 Combine like terms: 1 + -1 = 0 0 + -3x = 3 + -1 -3x = 3 + -1 Combine like terms: 3 + -1 = 2 -3x = 2 Divide each side by '-3'. x = -0.6666666667 Simplifying x = -0.6666666667
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