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Simplifying 2 = (x + -3) + 7(x + 2) Reorder the terms: 2 = (-3 + x) + 7(x + 2) Remove parenthesis around (-3 + x) 2 = -3 + x + 7(x + 2) Reorder the terms: 2 = -3 + x + 7(2 + x) 2 = -3 + x + (2 * 7 + x * 7) 2 = -3 + x + (14 + 7x) Reorder the terms: 2 = -3 + 14 + x + 7x Combine like terms: -3 + 14 = 11 2 = 11 + x + 7x Combine like terms: x + 7x = 8x 2 = 11 + 8x Solving 2 = 11 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 2 + -8x = 11 + 8x + -8x Combine like terms: 8x + -8x = 0 2 + -8x = 11 + 0 2 + -8x = 11 Add '-2' to each side of the equation. 2 + -2 + -8x = 11 + -2 Combine like terms: 2 + -2 = 0 0 + -8x = 11 + -2 -8x = 11 + -2 Combine like terms: 11 + -2 = 9 -8x = 9 Divide each side by '-8'. x = -1.125 Simplifying x = -1.125
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