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Simplifying 4x + -2(x + -3) + 4(x + 2) = 50 Reorder the terms: 4x + -2(-3 + x) + 4(x + 2) = 50 4x + (-3 * -2 + x * -2) + 4(x + 2) = 50 4x + (6 + -2x) + 4(x + 2) = 50 Reorder the terms: 4x + 6 + -2x + 4(2 + x) = 50 4x + 6 + -2x + (2 * 4 + x * 4) = 50 4x + 6 + -2x + (8 + 4x) = 50 Reorder the terms: 6 + 8 + 4x + -2x + 4x = 50 Combine like terms: 6 + 8 = 14 14 + 4x + -2x + 4x = 50 Combine like terms: 4x + -2x = 2x 14 + 2x + 4x = 50 Combine like terms: 2x + 4x = 6x 14 + 6x = 50 Solving 14 + 6x = 50 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 6x = 50 + -14 Combine like terms: 14 + -14 = 0 0 + 6x = 50 + -14 6x = 50 + -14 Combine like terms: 50 + -14 = 36 6x = 36 Divide each side by '6'. x = 6 Simplifying x = 6
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