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Simplifying 8(x + 1) + 6(x + 1) = 7x + 7 Reorder the terms: 8(1 + x) + 6(x + 1) = 7x + 7 (1 * 8 + x * 8) + 6(x + 1) = 7x + 7 (8 + 8x) + 6(x + 1) = 7x + 7 Reorder the terms: 8 + 8x + 6(1 + x) = 7x + 7 8 + 8x + (1 * 6 + x * 6) = 7x + 7 8 + 8x + (6 + 6x) = 7x + 7 Reorder the terms: 8 + 6 + 8x + 6x = 7x + 7 Combine like terms: 8 + 6 = 14 14 + 8x + 6x = 7x + 7 Combine like terms: 8x + 6x = 14x 14 + 14x = 7x + 7 Reorder the terms: 14 + 14x = 7 + 7x Solving 14 + 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. 14 + 14x + -7x = 7 + 7x + -7x Combine like terms: 14x + -7x = 7x 14 + 7x = 7 + 7x + -7x Combine like terms: 7x + -7x = 0 14 + 7x = 7 + 0 14 + 7x = 7 Add '-14' to each side of the equation. 14 + -14 + 7x = 7 + -14 Combine like terms: 14 + -14 = 0 0 + 7x = 7 + -14 7x = 7 + -14 Combine like terms: 7 + -14 = -7 7x = -7 Divide each side by '7'. x = -1 Simplifying x = -1
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