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Simplifying -8(9 + 1x) + 8 = 10x + 7(x + -4) (9 * -8 + 1x * -8) + 8 = 10x + 7(x + -4) (-72 + -8x) + 8 = 10x + 7(x + -4) Reorder the terms: -72 + 8 + -8x = 10x + 7(x + -4) Combine like terms: -72 + 8 = -64 -64 + -8x = 10x + 7(x + -4) Reorder the terms: -64 + -8x = 10x + 7(-4 + x) -64 + -8x = 10x + (-4 * 7 + x * 7) -64 + -8x = 10x + (-28 + 7x) Reorder the terms: -64 + -8x = -28 + 10x + 7x Combine like terms: 10x + 7x = 17x -64 + -8x = -28 + 17x Solving -64 + -8x = -28 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. -64 + -8x + -17x = -28 + 17x + -17x Combine like terms: -8x + -17x = -25x -64 + -25x = -28 + 17x + -17x Combine like terms: 17x + -17x = 0 -64 + -25x = -28 + 0 -64 + -25x = -28 Add '64' to each side of the equation. -64 + 64 + -25x = -28 + 64 Combine like terms: -64 + 64 = 0 0 + -25x = -28 + 64 -25x = -28 + 64 Combine like terms: -28 + 64 = 36 -25x = 36 Divide each side by '-25'. x = -1.44 Simplifying x = -1.44
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