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Simplifying 2 = -7(1 + 7x) + 8(x + -4) 2 = (1 * -7 + 7x * -7) + 8(x + -4) 2 = (-7 + -49x) + 8(x + -4) Reorder the terms: 2 = -7 + -49x + 8(-4 + x) 2 = -7 + -49x + (-4 * 8 + x * 8) 2 = -7 + -49x + (-32 + 8x) Reorder the terms: 2 = -7 + -32 + -49x + 8x Combine like terms: -7 + -32 = -39 2 = -39 + -49x + 8x Combine like terms: -49x + 8x = -41x 2 = -39 + -41x Solving 2 = -39 + -41x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '41x' to each side of the equation. 2 + 41x = -39 + -41x + 41x Combine like terms: -41x + 41x = 0 2 + 41x = -39 + 0 2 + 41x = -39 Add '-2' to each side of the equation. 2 + -2 + 41x = -39 + -2 Combine like terms: 2 + -2 = 0 0 + 41x = -39 + -2 41x = -39 + -2 Combine like terms: -39 + -2 = -41 41x = -41 Divide each side by '41'. x = -1 Simplifying x = -1
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