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Simplifying 5(2x + -12) + 21 = 2x + 41 Reorder the terms: 5(-12 + 2x) + 21 = 2x + 41 (-12 * 5 + 2x * 5) + 21 = 2x + 41 (-60 + 10x) + 21 = 2x + 41 Reorder the terms: -60 + 21 + 10x = 2x + 41 Combine like terms: -60 + 21 = -39 -39 + 10x = 2x + 41 Reorder the terms: -39 + 10x = 41 + 2x Solving -39 + 10x = 41 + 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. -39 + 10x + -2x = 41 + 2x + -2x Combine like terms: 10x + -2x = 8x -39 + 8x = 41 + 2x + -2x Combine like terms: 2x + -2x = 0 -39 + 8x = 41 + 0 -39 + 8x = 41 Add '39' to each side of the equation. -39 + 39 + 8x = 41 + 39 Combine like terms: -39 + 39 = 0 0 + 8x = 41 + 39 8x = 41 + 39 Combine like terms: 41 + 39 = 80 8x = 80 Divide each side by '8'. x = 10 Simplifying x = 10
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