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Simplifying 2(x + -3) + 4x = 14 + 2x Reorder the terms: 2(-3 + x) + 4x = 14 + 2x (-3 * 2 + x * 2) + 4x = 14 + 2x (-6 + 2x) + 4x = 14 + 2x Combine like terms: 2x + 4x = 6x -6 + 6x = 14 + 2x Solving -6 + 6x = 14 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -6 + 6x + -2x = 14 + 2x + -2x Combine like terms: 6x + -2x = 4x -6 + 4x = 14 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + 4x = 14 + 0 -6 + 4x = 14 Add '6' to each side of the equation. -6 + 6 + 4x = 14 + 6 Combine like terms: -6 + 6 = 0 0 + 4x = 14 + 6 4x = 14 + 6 Combine like terms: 14 + 6 = 20 4x = 20 Divide each side by '4'. x = 5 Simplifying x = 5
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