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Simplifying 8(x + -2) = 5(x + 4) Reorder the terms: 8(-2 + x) = 5(x + 4) (-2 * 8 + x * 8) = 5(x + 4) (-16 + 8x) = 5(x + 4) Reorder the terms: -16 + 8x = 5(4 + x) -16 + 8x = (4 * 5 + x * 5) -16 + 8x = (20 + 5x) Solving -16 + 8x = 20 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -16 + 8x + -5x = 20 + 5x + -5x Combine like terms: 8x + -5x = 3x -16 + 3x = 20 + 5x + -5x Combine like terms: 5x + -5x = 0 -16 + 3x = 20 + 0 -16 + 3x = 20 Add '16' to each side of the equation. -16 + 16 + 3x = 20 + 16 Combine like terms: -16 + 16 = 0 0 + 3x = 20 + 16 3x = 20 + 16 Combine like terms: 20 + 16 = 36 3x = 36 Divide each side by '3'. x = 12 Simplifying x = 12
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