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Simplifying 6x + 45 = 2x + 21 Reorder the terms: 45 + 6x = 2x + 21 Reorder the terms: 45 + 6x = 21 + 2x Solving 45 + 6x = 21 + 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. 45 + 6x + -2x = 21 + 2x + -2x Combine like terms: 6x + -2x = 4x 45 + 4x = 21 + 2x + -2x Combine like terms: 2x + -2x = 0 45 + 4x = 21 + 0 45 + 4x = 21 Add '-45' to each side of the equation. 45 + -45 + 4x = 21 + -45 Combine like terms: 45 + -45 = 0 0 + 4x = 21 + -45 4x = 21 + -45 Combine like terms: 21 + -45 = -24 4x = -24 Divide each side by '4'. x = -6 Simplifying x = -6
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