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