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Simplifying -4(6x + -7) + 8(9x + 7) = 2 Reorder the terms: -4(-7 + 6x) + 8(9x + 7) = 2 (-7 * -4 + 6x * -4) + 8(9x + 7) = 2 (28 + -24x) + 8(9x + 7) = 2 Reorder the terms: 28 + -24x + 8(7 + 9x) = 2 28 + -24x + (7 * 8 + 9x * 8) = 2 28 + -24x + (56 + 72x) = 2 Reorder the terms: 28 + 56 + -24x + 72x = 2 Combine like terms: 28 + 56 = 84 84 + -24x + 72x = 2 Combine like terms: -24x + 72x = 48x 84 + 48x = 2 Solving 84 + 48x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-84' to each side of the equation. 84 + -84 + 48x = 2 + -84 Combine like terms: 84 + -84 = 0 0 + 48x = 2 + -84 48x = 2 + -84 Combine like terms: 2 + -84 = -82 48x = -82 Divide each side by '48'. x = -1.708333333 Simplifying x = -1.708333333
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