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Simplifying 8x + -3(4 + -2x) = 6(x + 1) + -2 8x + (4 * -3 + -2x * -3) = 6(x + 1) + -2 8x + (-12 + 6x) = 6(x + 1) + -2 Reorder the terms: -12 + 8x + 6x = 6(x + 1) + -2 Combine like terms: 8x + 6x = 14x -12 + 14x = 6(x + 1) + -2 Reorder the terms: -12 + 14x = 6(1 + x) + -2 -12 + 14x = (1 * 6 + x * 6) + -2 -12 + 14x = (6 + 6x) + -2 Reorder the terms: -12 + 14x = 6 + -2 + 6x Combine like terms: 6 + -2 = 4 -12 + 14x = 4 + 6x Solving -12 + 14x = 4 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -12 + 14x + -6x = 4 + 6x + -6x Combine like terms: 14x + -6x = 8x -12 + 8x = 4 + 6x + -6x Combine like terms: 6x + -6x = 0 -12 + 8x = 4 + 0 -12 + 8x = 4 Add '12' to each side of the equation. -12 + 12 + 8x = 4 + 12 Combine like terms: -12 + 12 = 0 0 + 8x = 4 + 12 8x = 4 + 12 Combine like terms: 4 + 12 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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