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Simplifying -8(x + -4) = 35 + -7x Reorder the terms: -8(-4 + x) = 35 + -7x (-4 * -8 + x * -8) = 35 + -7x (32 + -8x) = 35 + -7x Solving 32 + -8x = 35 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 32 + -8x + 7x = 35 + -7x + 7x Combine like terms: -8x + 7x = -1x 32 + -1x = 35 + -7x + 7x Combine like terms: -7x + 7x = 0 32 + -1x = 35 + 0 32 + -1x = 35 Add '-32' to each side of the equation. 32 + -32 + -1x = 35 + -32 Combine like terms: 32 + -32 = 0 0 + -1x = 35 + -32 -1x = 35 + -32 Combine like terms: 35 + -32 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3
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