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Simplifying 8(x + 6) + 6(x + 6) = 7x + -7 Reorder the terms: 8(6 + x) + 6(x + 6) = 7x + -7 (6 * 8 + x * 8) + 6(x + 6) = 7x + -7 (48 + 8x) + 6(x + 6) = 7x + -7 Reorder the terms: 48 + 8x + 6(6 + x) = 7x + -7 48 + 8x + (6 * 6 + x * 6) = 7x + -7 48 + 8x + (36 + 6x) = 7x + -7 Reorder the terms: 48 + 36 + 8x + 6x = 7x + -7 Combine like terms: 48 + 36 = 84 84 + 8x + 6x = 7x + -7 Combine like terms: 8x + 6x = 14x 84 + 14x = 7x + -7 Reorder the terms: 84 + 14x = -7 + 7x Solving 84 + 14x = -7 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 84 + 14x + -7x = -7 + 7x + -7x Combine like terms: 14x + -7x = 7x 84 + 7x = -7 + 7x + -7x Combine like terms: 7x + -7x = 0 84 + 7x = -7 + 0 84 + 7x = -7 Add '-84' to each side of the equation. 84 + -84 + 7x = -7 + -84 Combine like terms: 84 + -84 = 0 0 + 7x = -7 + -84 7x = -7 + -84 Combine like terms: -7 + -84 = -91 7x = -91 Divide each side by '7'. x = -13 Simplifying x = -13
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