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Simplifying 8(x + -4) = -2x + 38 Reorder the terms: 8(-4 + x) = -2x + 38 (-4 * 8 + x * 8) = -2x + 38 (-32 + 8x) = -2x + 38 Reorder the terms: -32 + 8x = 38 + -2x Solving -32 + 8x = 38 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -32 + 8x + 2x = 38 + -2x + 2x Combine like terms: 8x + 2x = 10x -32 + 10x = 38 + -2x + 2x Combine like terms: -2x + 2x = 0 -32 + 10x = 38 + 0 -32 + 10x = 38 Add '32' to each side of the equation. -32 + 32 + 10x = 38 + 32 Combine like terms: -32 + 32 = 0 0 + 10x = 38 + 32 10x = 38 + 32 Combine like terms: 38 + 32 = 70 10x = 70 Divide each side by '10'. x = 7 Simplifying x = 7
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