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Simplifying 8(x + -1) = 4(x + 3) Reorder the terms: 8(-1 + x) = 4(x + 3) (-1 * 8 + x * 8) = 4(x + 3) (-8 + 8x) = 4(x + 3) Reorder the terms: -8 + 8x = 4(3 + x) -8 + 8x = (3 * 4 + x * 4) -8 + 8x = (12 + 4x) Solving -8 + 8x = 12 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -8 + 8x + -4x = 12 + 4x + -4x Combine like terms: 8x + -4x = 4x -8 + 4x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 -8 + 4x = 12 + 0 -8 + 4x = 12 Add '8' to each side of the equation. -8 + 8 + 4x = 12 + 8 Combine like terms: -8 + 8 = 0 0 + 4x = 12 + 8 4x = 12 + 8 Combine like terms: 12 + 8 = 20 4x = 20 Divide each side by '4'. x = 5 Simplifying x = 5
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