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Simplifying 3(2x + 1) + 8 = 7 + -2(4x + 1) Reorder the terms: 3(1 + 2x) + 8 = 7 + -2(4x + 1) (1 * 3 + 2x * 3) + 8 = 7 + -2(4x + 1) (3 + 6x) + 8 = 7 + -2(4x + 1) Reorder the terms: 3 + 8 + 6x = 7 + -2(4x + 1) Combine like terms: 3 + 8 = 11 11 + 6x = 7 + -2(4x + 1) Reorder the terms: 11 + 6x = 7 + -2(1 + 4x) 11 + 6x = 7 + (1 * -2 + 4x * -2) 11 + 6x = 7 + (-2 + -8x) Combine like terms: 7 + -2 = 5 11 + 6x = 5 + -8x Solving 11 + 6x = 5 + -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. 11 + 6x + 8x = 5 + -8x + 8x Combine like terms: 6x + 8x = 14x 11 + 14x = 5 + -8x + 8x Combine like terms: -8x + 8x = 0 11 + 14x = 5 + 0 11 + 14x = 5 Add '-11' to each side of the equation. 11 + -11 + 14x = 5 + -11 Combine like terms: 11 + -11 = 0 0 + 14x = 5 + -11 14x = 5 + -11 Combine like terms: 5 + -11 = -6 14x = -6 Divide each side by '14'. x = -0.4285714286 Simplifying x = -0.4285714286
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