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Simplifying 6x + 7 + -8(x + 1) = 3x + 2 Reorder the terms: 6x + 7 + -8(1 + x) = 3x + 2 6x + 7 + (1 * -8 + x * -8) = 3x + 2 6x + 7 + (-8 + -8x) = 3x + 2 Reorder the terms: 7 + -8 + 6x + -8x = 3x + 2 Combine like terms: 7 + -8 = -1 -1 + 6x + -8x = 3x + 2 Combine like terms: 6x + -8x = -2x -1 + -2x = 3x + 2 Reorder the terms: -1 + -2x = 2 + 3x Solving -1 + -2x = 2 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -1 + -2x + -3x = 2 + 3x + -3x Combine like terms: -2x + -3x = -5x -1 + -5x = 2 + 3x + -3x Combine like terms: 3x + -3x = 0 -1 + -5x = 2 + 0 -1 + -5x = 2 Add '1' to each side of the equation. -1 + 1 + -5x = 2 + 1 Combine like terms: -1 + 1 = 0 0 + -5x = 2 + 1 -5x = 2 + 1 Combine like terms: 2 + 1 = 3 -5x = 3 Divide each side by '-5'. x = -0.6 Simplifying x = -0.6
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