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Simplifying 9x + 1 = 3(2x + -2) + -7 Reorder the terms: 1 + 9x = 3(2x + -2) + -7 Reorder the terms: 1 + 9x = 3(-2 + 2x) + -7 1 + 9x = (-2 * 3 + 2x * 3) + -7 1 + 9x = (-6 + 6x) + -7 Reorder the terms: 1 + 9x = -6 + -7 + 6x Combine like terms: -6 + -7 = -13 1 + 9x = -13 + 6x Solving 1 + 9x = -13 + 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 + 9x + -6x = -13 + 6x + -6x Combine like terms: 9x + -6x = 3x 1 + 3x = -13 + 6x + -6x Combine like terms: 6x + -6x = 0 1 + 3x = -13 + 0 1 + 3x = -13 Add '-1' to each side of the equation. 1 + -1 + 3x = -13 + -1 Combine like terms: 1 + -1 = 0 0 + 3x = -13 + -1 3x = -13 + -1 Combine like terms: -13 + -1 = -14 3x = -14 Divide each side by '3'. x = -4.666666667 Simplifying x = -4.666666667
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