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Simplifying 3(4x + -9) = 4x + 61 Reorder the terms: 3(-9 + 4x) = 4x + 61 (-9 * 3 + 4x * 3) = 4x + 61 (-27 + 12x) = 4x + 61 Reorder the terms: -27 + 12x = 61 + 4x Solving -27 + 12x = 61 + 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. -27 + 12x + -4x = 61 + 4x + -4x Combine like terms: 12x + -4x = 8x -27 + 8x = 61 + 4x + -4x Combine like terms: 4x + -4x = 0 -27 + 8x = 61 + 0 -27 + 8x = 61 Add '27' to each side of the equation. -27 + 27 + 8x = 61 + 27 Combine like terms: -27 + 27 = 0 0 + 8x = 61 + 27 8x = 61 + 27 Combine like terms: 61 + 27 = 88 8x = 88 Divide each side by '8'. x = 11 Simplifying x = 11
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