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Simplifying 6x + 6 + -3(x + 1) = 8x + 7 Reorder the terms: 6x + 6 + -3(1 + x) = 8x + 7 6x + 6 + (1 * -3 + x * -3) = 8x + 7 6x + 6 + (-3 + -3x) = 8x + 7 Reorder the terms: 6 + -3 + 6x + -3x = 8x + 7 Combine like terms: 6 + -3 = 3 3 + 6x + -3x = 8x + 7 Combine like terms: 6x + -3x = 3x 3 + 3x = 8x + 7 Reorder the terms: 3 + 3x = 7 + 8x Solving 3 + 3x = 7 + 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. 3 + 3x + -8x = 7 + 8x + -8x Combine like terms: 3x + -8x = -5x 3 + -5x = 7 + 8x + -8x Combine like terms: 8x + -8x = 0 3 + -5x = 7 + 0 3 + -5x = 7 Add '-3' to each side of the equation. 3 + -3 + -5x = 7 + -3 Combine like terms: 3 + -3 = 0 0 + -5x = 7 + -3 -5x = 7 + -3 Combine like terms: 7 + -3 = 4 -5x = 4 Divide each side by '-5'. x = -0.8 Simplifying x = -0.8
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