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Simplifying 8 + -4x + -1(x + -7) + 9x + 6 = 12x + -7 Reorder the terms: 8 + -4x + -1(-7 + x) + 9x + 6 = 12x + -7 8 + -4x + (-7 * -1 + x * -1) + 9x + 6 = 12x + -7 8 + -4x + (7 + -1x) + 9x + 6 = 12x + -7 Reorder the terms: 8 + 7 + 6 + -4x + -1x + 9x = 12x + -7 Combine like terms: 8 + 7 = 15 15 + 6 + -4x + -1x + 9x = 12x + -7 Combine like terms: 15 + 6 = 21 21 + -4x + -1x + 9x = 12x + -7 Combine like terms: -4x + -1x = -5x 21 + -5x + 9x = 12x + -7 Combine like terms: -5x + 9x = 4x 21 + 4x = 12x + -7 Reorder the terms: 21 + 4x = -7 + 12x Solving 21 + 4x = -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. 21 + 4x + -12x = -7 + 12x + -12x Combine like terms: 4x + -12x = -8x 21 + -8x = -7 + 12x + -12x Combine like terms: 12x + -12x = 0 21 + -8x = -7 + 0 21 + -8x = -7 Add '-21' to each side of the equation. 21 + -21 + -8x = -7 + -21 Combine like terms: 21 + -21 = 0 0 + -8x = -7 + -21 -8x = -7 + -21 Combine like terms: -7 + -21 = -28 -8x = -28 Divide each side by '-8'. x = 3.5 Simplifying x = 3.5
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