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Simplifying 8(x + -4) = 7x + 2 Reorder the terms: 8(-4 + x) = 7x + 2 (-4 * 8 + x * 8) = 7x + 2 (-32 + 8x) = 7x + 2 Reorder the terms: -32 + 8x = 2 + 7x Solving -32 + 8x = 2 + 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 = 2 + 7x + -7x Combine like terms: 8x + -7x = 1x -32 + 1x = 2 + 7x + -7x Combine like terms: 7x + -7x = 0 -32 + 1x = 2 + 0 -32 + 1x = 2 Add '32' to each side of the equation. -32 + 32 + 1x = 2 + 32 Combine like terms: -32 + 32 = 0 0 + 1x = 2 + 32 1x = 2 + 32 Combine like terms: 2 + 32 = 34 1x = 34 Divide each side by '1'. x = 34 Simplifying x = 34
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