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Simplifying 8(x + 2) + 6(x + 2) = 7x + -7 Reorder the terms: 8(2 + x) + 6(x + 2) = 7x + -7 (2 * 8 + x * 8) + 6(x + 2) = 7x + -7 (16 + 8x) + 6(x + 2) = 7x + -7 Reorder the terms: 16 + 8x + 6(2 + x) = 7x + -7 16 + 8x + (2 * 6 + x * 6) = 7x + -7 16 + 8x + (12 + 6x) = 7x + -7 Reorder the terms: 16 + 12 + 8x + 6x = 7x + -7 Combine like terms: 16 + 12 = 28 28 + 8x + 6x = 7x + -7 Combine like terms: 8x + 6x = 14x 28 + 14x = 7x + -7 Reorder the terms: 28 + 14x = -7 + 7x Solving 28 + 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. 28 + 14x + -7x = -7 + 7x + -7x Combine like terms: 14x + -7x = 7x 28 + 7x = -7 + 7x + -7x Combine like terms: 7x + -7x = 0 28 + 7x = -7 + 0 28 + 7x = -7 Add '-28' to each side of the equation. 28 + -28 + 7x = -7 + -28 Combine like terms: 28 + -28 = 0 0 + 7x = -7 + -28 7x = -7 + -28 Combine like terms: -7 + -28 = -35 7x = -35 Divide each side by '7'. x = -5 Simplifying x = -5
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