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Simplifying 7x + 2(x + 2) = 8x + -2(x + 1) Reorder the terms: 7x + 2(2 + x) = 8x + -2(x + 1) 7x + (2 * 2 + x * 2) = 8x + -2(x + 1) 7x + (4 + 2x) = 8x + -2(x + 1) Reorder the terms: 4 + 7x + 2x = 8x + -2(x + 1) Combine like terms: 7x + 2x = 9x 4 + 9x = 8x + -2(x + 1) Reorder the terms: 4 + 9x = 8x + -2(1 + x) 4 + 9x = 8x + (1 * -2 + x * -2) 4 + 9x = 8x + (-2 + -2x) Reorder the terms: 4 + 9x = -2 + 8x + -2x Combine like terms: 8x + -2x = 6x 4 + 9x = -2 + 6x Solving 4 + 9x = -2 + 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. 4 + 9x + -6x = -2 + 6x + -6x Combine like terms: 9x + -6x = 3x 4 + 3x = -2 + 6x + -6x Combine like terms: 6x + -6x = 0 4 + 3x = -2 + 0 4 + 3x = -2 Add '-4' to each side of the equation. 4 + -4 + 3x = -2 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = -2 + -4 3x = -2 + -4 Combine like terms: -2 + -4 = -6 3x = -6 Divide each side by '3'. x = -2 Simplifying x = -2
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