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Simplifying 8(x + 6) + 6(x + 6) = 6x + -6 Reorder the terms: 8(6 + x) + 6(x + 6) = 6x + -6 (6 * 8 + x * 8) + 6(x + 6) = 6x + -6 (48 + 8x) + 6(x + 6) = 6x + -6 Reorder the terms: 48 + 8x + 6(6 + x) = 6x + -6 48 + 8x + (6 * 6 + x * 6) = 6x + -6 48 + 8x + (36 + 6x) = 6x + -6 Reorder the terms: 48 + 36 + 8x + 6x = 6x + -6 Combine like terms: 48 + 36 = 84 84 + 8x + 6x = 6x + -6 Combine like terms: 8x + 6x = 14x 84 + 14x = 6x + -6 Reorder the terms: 84 + 14x = -6 + 6x Solving 84 + 14x = -6 + 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. 84 + 14x + -6x = -6 + 6x + -6x Combine like terms: 14x + -6x = 8x 84 + 8x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 84 + 8x = -6 + 0 84 + 8x = -6 Add '-84' to each side of the equation. 84 + -84 + 8x = -6 + -84 Combine like terms: 84 + -84 = 0 0 + 8x = -6 + -84 8x = -6 + -84 Combine like terms: -6 + -84 = -90 8x = -90 Divide each side by '8'. x = -11.25 Simplifying x = -11.25
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