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Simplifying 8x + 6(x + -1) = 3(4x + 1) Reorder the terms: 8x + 6(-1 + x) = 3(4x + 1) 8x + (-1 * 6 + x * 6) = 3(4x + 1) 8x + (-6 + 6x) = 3(4x + 1) Reorder the terms: -6 + 8x + 6x = 3(4x + 1) Combine like terms: 8x + 6x = 14x -6 + 14x = 3(4x + 1) Reorder the terms: -6 + 14x = 3(1 + 4x) -6 + 14x = (1 * 3 + 4x * 3) -6 + 14x = (3 + 12x) Solving -6 + 14x = 3 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -6 + 14x + -12x = 3 + 12x + -12x Combine like terms: 14x + -12x = 2x -6 + 2x = 3 + 12x + -12x Combine like terms: 12x + -12x = 0 -6 + 2x = 3 + 0 -6 + 2x = 3 Add '6' to each side of the equation. -6 + 6 + 2x = 3 + 6 Combine like terms: -6 + 6 = 0 0 + 2x = 3 + 6 2x = 3 + 6 Combine like terms: 3 + 6 = 9 2x = 9 Divide each side by '2'. x = 4.5 Simplifying x = 4.5
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