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Simplifying 8x + 6 + -1(3x + 2) = 2(x + -3) + 7 Reorder the terms: 8x + 6 + -1(2 + 3x) = 2(x + -3) + 7 8x + 6 + (2 * -1 + 3x * -1) = 2(x + -3) + 7 8x + 6 + (-2 + -3x) = 2(x + -3) + 7 Reorder the terms: 6 + -2 + 8x + -3x = 2(x + -3) + 7 Combine like terms: 6 + -2 = 4 4 + 8x + -3x = 2(x + -3) + 7 Combine like terms: 8x + -3x = 5x 4 + 5x = 2(x + -3) + 7 Reorder the terms: 4 + 5x = 2(-3 + x) + 7 4 + 5x = (-3 * 2 + x * 2) + 7 4 + 5x = (-6 + 2x) + 7 Reorder the terms: 4 + 5x = -6 + 7 + 2x Combine like terms: -6 + 7 = 1 4 + 5x = 1 + 2x Solving 4 + 5x = 1 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 4 + 5x + -2x = 1 + 2x + -2x Combine like terms: 5x + -2x = 3x 4 + 3x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 4 + 3x = 1 + 0 4 + 3x = 1 Add '-4' to each side of the equation. 4 + -4 + 3x = 1 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = 1 + -4 3x = 1 + -4 Combine like terms: 1 + -4 = -3 3x = -3 Divide each side by '3'. x = -1 Simplifying x = -1
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