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Simplifying 6x + -54 = 14 + 2(x + -4) + 2x Reorder the terms: -54 + 6x = 14 + 2(x + -4) + 2x Reorder the terms: -54 + 6x = 14 + 2(-4 + x) + 2x -54 + 6x = 14 + (-4 * 2 + x * 2) + 2x -54 + 6x = 14 + (-8 + 2x) + 2x Combine like terms: 14 + -8 = 6 -54 + 6x = 6 + 2x + 2x Combine like terms: 2x + 2x = 4x -54 + 6x = 6 + 4x Solving -54 + 6x = 6 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -54 + 6x + -4x = 6 + 4x + -4x Combine like terms: 6x + -4x = 2x -54 + 2x = 6 + 4x + -4x Combine like terms: 4x + -4x = 0 -54 + 2x = 6 + 0 -54 + 2x = 6 Add '54' to each side of the equation. -54 + 54 + 2x = 6 + 54 Combine like terms: -54 + 54 = 0 0 + 2x = 6 + 54 2x = 6 + 54 Combine like terms: 6 + 54 = 60 2x = 60 Divide each side by '2'. x = 30 Simplifying x = 30
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