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Simplifying 7(x + 2) + 8(x + 2) = 7x + 7 Reorder the terms: 7(2 + x) + 8(x + 2) = 7x + 7 (2 * 7 + x * 7) + 8(x + 2) = 7x + 7 (14 + 7x) + 8(x + 2) = 7x + 7 Reorder the terms: 14 + 7x + 8(2 + x) = 7x + 7 14 + 7x + (2 * 8 + x * 8) = 7x + 7 14 + 7x + (16 + 8x) = 7x + 7 Reorder the terms: 14 + 16 + 7x + 8x = 7x + 7 Combine like terms: 14 + 16 = 30 30 + 7x + 8x = 7x + 7 Combine like terms: 7x + 8x = 15x 30 + 15x = 7x + 7 Reorder the terms: 30 + 15x = 7 + 7x Solving 30 + 15x = 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. 30 + 15x + -7x = 7 + 7x + -7x Combine like terms: 15x + -7x = 8x 30 + 8x = 7 + 7x + -7x Combine like terms: 7x + -7x = 0 30 + 8x = 7 + 0 30 + 8x = 7 Add '-30' to each side of the equation. 30 + -30 + 8x = 7 + -30 Combine like terms: 30 + -30 = 0 0 + 8x = 7 + -30 8x = 7 + -30 Combine like terms: 7 + -30 = -23 8x = -23 Divide each side by '8'. x = -2.875 Simplifying x = -2.875
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