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Simplifying 6x + 40 = 2x + 84 Reorder the terms: 40 + 6x = 2x + 84 Reorder the terms: 40 + 6x = 84 + 2x Solving 40 + 6x = 84 + 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. 40 + 6x + -2x = 84 + 2x + -2x Combine like terms: 6x + -2x = 4x 40 + 4x = 84 + 2x + -2x Combine like terms: 2x + -2x = 0 40 + 4x = 84 + 0 40 + 4x = 84 Add '-40' to each side of the equation. 40 + -40 + 4x = 84 + -40 Combine like terms: 40 + -40 = 0 0 + 4x = 84 + -40 4x = 84 + -40 Combine like terms: 84 + -40 = 44 4x = 44 Divide each side by '4'. x = 11 Simplifying x = 11
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