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Simplifying 6 + -1(x + -7) + 5x = -9 + -6 Reorder the terms: 6 + -1(-7 + x) + 5x = -9 + -6 6 + (-7 * -1 + x * -1) + 5x = -9 + -6 6 + (7 + -1x) + 5x = -9 + -6 Combine like terms: 6 + 7 = 13 13 + -1x + 5x = -9 + -6 Combine like terms: -1x + 5x = 4x 13 + 4x = -9 + -6 Combine like terms: -9 + -6 = -15 13 + 4x = -15 Solving 13 + 4x = -15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 4x = -15 + -13 Combine like terms: 13 + -13 = 0 0 + 4x = -15 + -13 4x = -15 + -13 Combine like terms: -15 + -13 = -28 4x = -28 Divide each side by '4'. x = -7 Simplifying x = -7
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