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Simplifying 3x + 4 + -7x + 2(3x + -8) = 36 Reorder the terms: 3x + 4 + -7x + 2(-8 + 3x) = 36 3x + 4 + -7x + (-8 * 2 + 3x * 2) = 36 3x + 4 + -7x + (-16 + 6x) = 36 Reorder the terms: 4 + -16 + 3x + -7x + 6x = 36 Combine like terms: 4 + -16 = -12 -12 + 3x + -7x + 6x = 36 Combine like terms: 3x + -7x = -4x -12 + -4x + 6x = 36 Combine like terms: -4x + 6x = 2x -12 + 2x = 36 Solving -12 + 2x = 36 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 2x = 36 + 12 Combine like terms: -12 + 12 = 0 0 + 2x = 36 + 12 2x = 36 + 12 Combine like terms: 36 + 12 = 48 2x = 48 Divide each side by '2'. x = 24 Simplifying x = 24
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