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Simplifying 2(7x + 1) = 5 + -1(8x + 4) Reorder the terms: 2(1 + 7x) = 5 + -1(8x + 4) (1 * 2 + 7x * 2) = 5 + -1(8x + 4) (2 + 14x) = 5 + -1(8x + 4) Reorder the terms: 2 + 14x = 5 + -1(4 + 8x) 2 + 14x = 5 + (4 * -1 + 8x * -1) 2 + 14x = 5 + (-4 + -8x) Combine like terms: 5 + -4 = 1 2 + 14x = 1 + -8x Solving 2 + 14x = 1 + -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 + 14x + 8x = 1 + -8x + 8x Combine like terms: 14x + 8x = 22x 2 + 22x = 1 + -8x + 8x Combine like terms: -8x + 8x = 0 2 + 22x = 1 + 0 2 + 22x = 1 Add '-2' to each side of the equation. 2 + -2 + 22x = 1 + -2 Combine like terms: 2 + -2 = 0 0 + 22x = 1 + -2 22x = 1 + -2 Combine like terms: 1 + -2 = -1 22x = -1 Divide each side by '22'. x = -0.04545454545 Simplifying x = -0.04545454545
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