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Simplifying 8(x + -4) + -1(7x + -8) = 7 Reorder the terms: 8(-4 + x) + -1(7x + -8) = 7 (-4 * 8 + x * 8) + -1(7x + -8) = 7 (-32 + 8x) + -1(7x + -8) = 7 Reorder the terms: -32 + 8x + -1(-8 + 7x) = 7 -32 + 8x + (-8 * -1 + 7x * -1) = 7 -32 + 8x + (8 + -7x) = 7 Reorder the terms: -32 + 8 + 8x + -7x = 7 Combine like terms: -32 + 8 = -24 -24 + 8x + -7x = 7 Combine like terms: 8x + -7x = 1x -24 + 1x = 7 Solving -24 + 1x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 1x = 7 + 24 Combine like terms: -24 + 24 = 0 0 + 1x = 7 + 24 1x = 7 + 24 Combine like terms: 7 + 24 = 31 1x = 31 Divide each side by '1'. x = 31 Simplifying x = 31
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