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Simplifying 3x + -4(2x + -7) = 9x + -2 Reorder the terms: 3x + -4(-7 + 2x) = 9x + -2 3x + (-7 * -4 + 2x * -4) = 9x + -2 3x + (28 + -8x) = 9x + -2 Reorder the terms: 28 + 3x + -8x = 9x + -2 Combine like terms: 3x + -8x = -5x 28 + -5x = 9x + -2 Reorder the terms: 28 + -5x = -2 + 9x Solving 28 + -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. 28 + -5x + -9x = -2 + 9x + -9x Combine like terms: -5x + -9x = -14x 28 + -14x = -2 + 9x + -9x Combine like terms: 9x + -9x = 0 28 + -14x = -2 + 0 28 + -14x = -2 Add '-28' to each side of the equation. 28 + -28 + -14x = -2 + -28 Combine like terms: 28 + -28 = 0 0 + -14x = -2 + -28 -14x = -2 + -28 Combine like terms: -2 + -28 = -30 -14x = -30 Divide each side by '-14'. x = 2.142857143 Simplifying x = 2.142857143
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