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Simplifying 6x + -7 + 3(x + 1) = 8x + -6 Reorder the terms: 6x + -7 + 3(1 + x) = 8x + -6 6x + -7 + (1 * 3 + x * 3) = 8x + -6 6x + -7 + (3 + 3x) = 8x + -6 Reorder the terms: -7 + 3 + 6x + 3x = 8x + -6 Combine like terms: -7 + 3 = -4 -4 + 6x + 3x = 8x + -6 Combine like terms: 6x + 3x = 9x -4 + 9x = 8x + -6 Reorder the terms: -4 + 9x = -6 + 8x Solving -4 + 9x = -6 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -4 + 9x + -8x = -6 + 8x + -8x Combine like terms: 9x + -8x = 1x -4 + 1x = -6 + 8x + -8x Combine like terms: 8x + -8x = 0 -4 + 1x = -6 + 0 -4 + 1x = -6 Add '4' to each side of the equation. -4 + 4 + 1x = -6 + 4 Combine like terms: -4 + 4 = 0 0 + 1x = -6 + 4 1x = -6 + 4 Combine like terms: -6 + 4 = -2 1x = -2 Divide each side by '1'. x = -2 Simplifying x = -2
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