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Simplifying 5(x + -2) + 3(x + 4) = 8 Reorder the terms: 5(-2 + x) + 3(x + 4) = 8 (-2 * 5 + x * 5) + 3(x + 4) = 8 (-10 + 5x) + 3(x + 4) = 8 Reorder the terms: -10 + 5x + 3(4 + x) = 8 -10 + 5x + (4 * 3 + x * 3) = 8 -10 + 5x + (12 + 3x) = 8 Reorder the terms: -10 + 12 + 5x + 3x = 8 Combine like terms: -10 + 12 = 2 2 + 5x + 3x = 8 Combine like terms: 5x + 3x = 8x 2 + 8x = 8 Solving 2 + 8x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 8x = 8 + -2 Combine like terms: 2 + -2 = 0 0 + 8x = 8 + -2 8x = 8 + -2 Combine like terms: 8 + -2 = 6 8x = 6 Divide each side by '8'. x = 0.75 Simplifying x = 0.75
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