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Simplifying 6 + -4(2x + 8) = 7 + -1(x + -9) Reorder the terms: 6 + -4(8 + 2x) = 7 + -1(x + -9) 6 + (8 * -4 + 2x * -4) = 7 + -1(x + -9) 6 + (-32 + -8x) = 7 + -1(x + -9) Combine like terms: 6 + -32 = -26 -26 + -8x = 7 + -1(x + -9) Reorder the terms: -26 + -8x = 7 + -1(-9 + x) -26 + -8x = 7 + (-9 * -1 + x * -1) -26 + -8x = 7 + (9 + -1x) Combine like terms: 7 + 9 = 16 -26 + -8x = 16 + -1x Solving -26 + -8x = 16 + -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. -26 + -8x + x = 16 + -1x + x Combine like terms: -8x + x = -7x -26 + -7x = 16 + -1x + x Combine like terms: -1x + x = 0 -26 + -7x = 16 + 0 -26 + -7x = 16 Add '26' to each side of the equation. -26 + 26 + -7x = 16 + 26 Combine like terms: -26 + 26 = 0 0 + -7x = 16 + 26 -7x = 16 + 26 Combine like terms: 16 + 26 = 42 -7x = 42 Divide each side by '-7'. x = -6 Simplifying x = -6
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