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Simplifying -4(6x + 8) = 2(1 + 7x) Reorder the terms: -4(8 + 6x) = 2(1 + 7x) (8 * -4 + 6x * -4) = 2(1 + 7x) (-32 + -24x) = 2(1 + 7x) -32 + -24x = (1 * 2 + 7x * 2) -32 + -24x = (2 + 14x) Solving -32 + -24x = 2 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -32 + -24x + -14x = 2 + 14x + -14x Combine like terms: -24x + -14x = -38x -32 + -38x = 2 + 14x + -14x Combine like terms: 14x + -14x = 0 -32 + -38x = 2 + 0 -32 + -38x = 2 Add '32' to each side of the equation. -32 + 32 + -38x = 2 + 32 Combine like terms: -32 + 32 = 0 0 + -38x = 2 + 32 -38x = 2 + 32 Combine like terms: 2 + 32 = 34 -38x = 34 Divide each side by '-38'. x = -0.8947368421 Simplifying x = -0.8947368421
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