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Simplifying 4(x + -7) + 2(x + 9) = 8 Reorder the terms: 4(-7 + x) + 2(x + 9) = 8 (-7 * 4 + x * 4) + 2(x + 9) = 8 (-28 + 4x) + 2(x + 9) = 8 Reorder the terms: -28 + 4x + 2(9 + x) = 8 -28 + 4x + (9 * 2 + x * 2) = 8 -28 + 4x + (18 + 2x) = 8 Reorder the terms: -28 + 18 + 4x + 2x = 8 Combine like terms: -28 + 18 = -10 -10 + 4x + 2x = 8 Combine like terms: 4x + 2x = 6x -10 + 6x = 8 Solving -10 + 6x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 6x = 8 + 10 Combine like terms: -10 + 10 = 0 0 + 6x = 8 + 10 6x = 8 + 10 Combine like terms: 8 + 10 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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