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Simplifying -9x + 3 = 5x + -1(7 + 6x) + 2 Reorder the terms: 3 + -9x = 5x + -1(7 + 6x) + 2 3 + -9x = 5x + (7 * -1 + 6x * -1) + 2 3 + -9x = 5x + (-7 + -6x) + 2 Reorder the terms: 3 + -9x = -7 + 2 + 5x + -6x Combine like terms: -7 + 2 = -5 3 + -9x = -5 + 5x + -6x Combine like terms: 5x + -6x = -1x 3 + -9x = -5 + -1x Solving 3 + -9x = -5 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 3 + -9x + x = -5 + -1x + x Combine like terms: -9x + x = -8x 3 + -8x = -5 + -1x + x Combine like terms: -1x + x = 0 3 + -8x = -5 + 0 3 + -8x = -5 Add '-3' to each side of the equation. 3 + -3 + -8x = -5 + -3 Combine like terms: 3 + -3 = 0 0 + -8x = -5 + -3 -8x = -5 + -3 Combine like terms: -5 + -3 = -8 -8x = -8 Divide each side by '-8'. x = 1 Simplifying x = 1
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