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Simplifying 8x + -4 + -1(-1x + -7) + 9x + 6 = 12x + -7 Reorder the terms: 8x + -4 + -1(-7 + -1x) + 9x + 6 = 12x + -7 8x + -4 + (-7 * -1 + -1x * -1) + 9x + 6 = 12x + -7 8x + -4 + (7 + 1x) + 9x + 6 = 12x + -7 Reorder the terms: -4 + 7 + 6 + 8x + 1x + 9x = 12x + -7 Combine like terms: -4 + 7 = 3 3 + 6 + 8x + 1x + 9x = 12x + -7 Combine like terms: 3 + 6 = 9 9 + 8x + 1x + 9x = 12x + -7 Combine like terms: 8x + 1x = 9x 9 + 9x + 9x = 12x + -7 Combine like terms: 9x + 9x = 18x 9 + 18x = 12x + -7 Reorder the terms: 9 + 18x = -7 + 12x Solving 9 + 18x = -7 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 9 + 18x + -12x = -7 + 12x + -12x Combine like terms: 18x + -12x = 6x 9 + 6x = -7 + 12x + -12x Combine like terms: 12x + -12x = 0 9 + 6x = -7 + 0 9 + 6x = -7 Add '-9' to each side of the equation. 9 + -9 + 6x = -7 + -9 Combine like terms: 9 + -9 = 0 0 + 6x = -7 + -9 6x = -7 + -9 Combine like terms: -7 + -9 = -16 6x = -16 Divide each side by '6'. x = -2.666666667 Simplifying x = -2.666666667
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