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Simplifying 3(2x + -7) = 5(7 + -1x) + 12 Reorder the terms: 3(-7 + 2x) = 5(7 + -1x) + 12 (-7 * 3 + 2x * 3) = 5(7 + -1x) + 12 (-21 + 6x) = 5(7 + -1x) + 12 -21 + 6x = (7 * 5 + -1x * 5) + 12 -21 + 6x = (35 + -5x) + 12 Reorder the terms: -21 + 6x = 35 + 12 + -5x Combine like terms: 35 + 12 = 47 -21 + 6x = 47 + -5x Solving -21 + 6x = 47 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -21 + 6x + 5x = 47 + -5x + 5x Combine like terms: 6x + 5x = 11x -21 + 11x = 47 + -5x + 5x Combine like terms: -5x + 5x = 0 -21 + 11x = 47 + 0 -21 + 11x = 47 Add '21' to each side of the equation. -21 + 21 + 11x = 47 + 21 Combine like terms: -21 + 21 = 0 0 + 11x = 47 + 21 11x = 47 + 21 Combine like terms: 47 + 21 = 68 11x = 68 Divide each side by '11'. x = 6.181818182 Simplifying x = 6.181818182
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