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Simplifying -9 = -7(x + -6) + -1(8x + 4) Reorder the terms: -9 = -7(-6 + x) + -1(8x + 4) -9 = (-6 * -7 + x * -7) + -1(8x + 4) -9 = (42 + -7x) + -1(8x + 4) Reorder the terms: -9 = 42 + -7x + -1(4 + 8x) -9 = 42 + -7x + (4 * -1 + 8x * -1) -9 = 42 + -7x + (-4 + -8x) Reorder the terms: -9 = 42 + -4 + -7x + -8x Combine like terms: 42 + -4 = 38 -9 = 38 + -7x + -8x Combine like terms: -7x + -8x = -15x -9 = 38 + -15x Solving -9 = 38 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. -9 + 15x = 38 + -15x + 15x Combine like terms: -15x + 15x = 0 -9 + 15x = 38 + 0 -9 + 15x = 38 Add '9' to each side of the equation. -9 + 9 + 15x = 38 + 9 Combine like terms: -9 + 9 = 0 0 + 15x = 38 + 9 15x = 38 + 9 Combine like terms: 38 + 9 = 47 15x = 47 Divide each side by '15'. x = 3.133333333 Simplifying x = 3.133333333
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