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Simplifying 8x + -3(4 + -1x) = 6(x + 1) + -1x 8x + (4 * -3 + -1x * -3) = 6(x + 1) + -1x 8x + (-12 + 3x) = 6(x + 1) + -1x Reorder the terms: -12 + 8x + 3x = 6(x + 1) + -1x Combine like terms: 8x + 3x = 11x -12 + 11x = 6(x + 1) + -1x Reorder the terms: -12 + 11x = 6(1 + x) + -1x -12 + 11x = (1 * 6 + x * 6) + -1x -12 + 11x = (6 + 6x) + -1x Combine like terms: 6x + -1x = 5x -12 + 11x = 6 + 5x Solving -12 + 11x = 6 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -12 + 11x + -5x = 6 + 5x + -5x Combine like terms: 11x + -5x = 6x -12 + 6x = 6 + 5x + -5x Combine like terms: 5x + -5x = 0 -12 + 6x = 6 + 0 -12 + 6x = 6 Add '12' to each side of the equation. -12 + 12 + 6x = 6 + 12 Combine like terms: -12 + 12 = 0 0 + 6x = 6 + 12 6x = 6 + 12 Combine like terms: 6 + 12 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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