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Simplifying 7x + -3(4x + -7) = 9x + -2 Reorder the terms: 7x + -3(-7 + 4x) = 9x + -2 7x + (-7 * -3 + 4x * -3) = 9x + -2 7x + (21 + -12x) = 9x + -2 Reorder the terms: 21 + 7x + -12x = 9x + -2 Combine like terms: 7x + -12x = -5x 21 + -5x = 9x + -2 Reorder the terms: 21 + -5x = -2 + 9x Solving 21 + -5x = -2 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 21 + -5x + -9x = -2 + 9x + -9x Combine like terms: -5x + -9x = -14x 21 + -14x = -2 + 9x + -9x Combine like terms: 9x + -9x = 0 21 + -14x = -2 + 0 21 + -14x = -2 Add '-21' to each side of the equation. 21 + -21 + -14x = -2 + -21 Combine like terms: 21 + -21 = 0 0 + -14x = -2 + -21 -14x = -2 + -21 Combine like terms: -2 + -21 = -23 -14x = -23 Divide each side by '-14'. x = 1.642857143 Simplifying x = 1.642857143
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