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Simplifying -4(2x + -7) = 6x + 12 Reorder the terms: -4(-7 + 2x) = 6x + 12 (-7 * -4 + 2x * -4) = 6x + 12 (28 + -8x) = 6x + 12 Reorder the terms: 28 + -8x = 12 + 6x Solving 28 + -8x = 12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 28 + -8x + -6x = 12 + 6x + -6x Combine like terms: -8x + -6x = -14x 28 + -14x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 28 + -14x = 12 + 0 28 + -14x = 12 Add '-28' to each side of the equation. 28 + -28 + -14x = 12 + -28 Combine like terms: 28 + -28 = 0 0 + -14x = 12 + -28 -14x = 12 + -28 Combine like terms: 12 + -28 = -16 -14x = -16 Divide each side by '-14'. x = 1.142857143 Simplifying x = 1.142857143
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