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Simplifying 2(3 + 2x) + 3(x + -4) = 8 (3 * 2 + 2x * 2) + 3(x + -4) = 8 (6 + 4x) + 3(x + -4) = 8 Reorder the terms: 6 + 4x + 3(-4 + x) = 8 6 + 4x + (-4 * 3 + x * 3) = 8 6 + 4x + (-12 + 3x) = 8 Reorder the terms: 6 + -12 + 4x + 3x = 8 Combine like terms: 6 + -12 = -6 -6 + 4x + 3x = 8 Combine like terms: 4x + 3x = 7x -6 + 7x = 8 Solving -6 + 7x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 7x = 8 + 6 Combine like terms: -6 + 6 = 0 0 + 7x = 8 + 6 7x = 8 + 6 Combine like terms: 8 + 6 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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