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Simplifying 7(x + -4) + -8 = -4(-8x + 8) + -9x Reorder the terms: 7(-4 + x) + -8 = -4(-8x + 8) + -9x (-4 * 7 + x * 7) + -8 = -4(-8x + 8) + -9x (-28 + 7x) + -8 = -4(-8x + 8) + -9x Reorder the terms: -28 + -8 + 7x = -4(-8x + 8) + -9x Combine like terms: -28 + -8 = -36 -36 + 7x = -4(-8x + 8) + -9x Reorder the terms: -36 + 7x = -4(8 + -8x) + -9x -36 + 7x = (8 * -4 + -8x * -4) + -9x -36 + 7x = (-32 + 32x) + -9x Combine like terms: 32x + -9x = 23x -36 + 7x = -32 + 23x Solving -36 + 7x = -32 + 23x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23x' to each side of the equation. -36 + 7x + -23x = -32 + 23x + -23x Combine like terms: 7x + -23x = -16x -36 + -16x = -32 + 23x + -23x Combine like terms: 23x + -23x = 0 -36 + -16x = -32 + 0 -36 + -16x = -32 Add '36' to each side of the equation. -36 + 36 + -16x = -32 + 36 Combine like terms: -36 + 36 = 0 0 + -16x = -32 + 36 -16x = -32 + 36 Combine like terms: -32 + 36 = 4 -16x = 4 Divide each side by '-16'. x = -0.25 Simplifying x = -0.25
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