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Simplifying 6(x + 9) + 2 = -8(x + -7) + -9 Reorder the terms: 6(9 + x) + 2 = -8(x + -7) + -9 (9 * 6 + x * 6) + 2 = -8(x + -7) + -9 (54 + 6x) + 2 = -8(x + -7) + -9 Reorder the terms: 54 + 2 + 6x = -8(x + -7) + -9 Combine like terms: 54 + 2 = 56 56 + 6x = -8(x + -7) + -9 Reorder the terms: 56 + 6x = -8(-7 + x) + -9 56 + 6x = (-7 * -8 + x * -8) + -9 56 + 6x = (56 + -8x) + -9 Reorder the terms: 56 + 6x = 56 + -9 + -8x Combine like terms: 56 + -9 = 47 56 + 6x = 47 + -8x Solving 56 + 6x = 47 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 56 + 6x + 8x = 47 + -8x + 8x Combine like terms: 6x + 8x = 14x 56 + 14x = 47 + -8x + 8x Combine like terms: -8x + 8x = 0 56 + 14x = 47 + 0 56 + 14x = 47 Add '-56' to each side of the equation. 56 + -56 + 14x = 47 + -56 Combine like terms: 56 + -56 = 0 0 + 14x = 47 + -56 14x = 47 + -56 Combine like terms: 47 + -56 = -9 14x = -9 Divide each side by '14'. x = -0.6428571429 Simplifying x = -0.6428571429
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