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Simplifying 2(x + 4) + 3(x + -10) = 8 Reorder the terms: 2(4 + x) + 3(x + -10) = 8 (4 * 2 + x * 2) + 3(x + -10) = 8 (8 + 2x) + 3(x + -10) = 8 Reorder the terms: 8 + 2x + 3(-10 + x) = 8 8 + 2x + (-10 * 3 + x * 3) = 8 8 + 2x + (-30 + 3x) = 8 Reorder the terms: 8 + -30 + 2x + 3x = 8 Combine like terms: 8 + -30 = -22 -22 + 2x + 3x = 8 Combine like terms: 2x + 3x = 5x -22 + 5x = 8 Solving -22 + 5x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 5x = 8 + 22 Combine like terms: -22 + 22 = 0 0 + 5x = 8 + 22 5x = 8 + 22 Combine like terms: 8 + 22 = 30 5x = 30 Divide each side by '5'. x = 6 Simplifying x = 6
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