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Simplifying 8x + -5 = 7(x + -2) + 6 Reorder the terms: -5 + 8x = 7(x + -2) + 6 Reorder the terms: -5 + 8x = 7(-2 + x) + 6 -5 + 8x = (-2 * 7 + x * 7) + 6 -5 + 8x = (-14 + 7x) + 6 Reorder the terms: -5 + 8x = -14 + 6 + 7x Combine like terms: -14 + 6 = -8 -5 + 8x = -8 + 7x Solving -5 + 8x = -8 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -5 + 8x + -7x = -8 + 7x + -7x Combine like terms: 8x + -7x = 1x -5 + 1x = -8 + 7x + -7x Combine like terms: 7x + -7x = 0 -5 + 1x = -8 + 0 -5 + 1x = -8 Add '5' to each side of the equation. -5 + 5 + 1x = -8 + 5 Combine like terms: -5 + 5 = 0 0 + 1x = -8 + 5 1x = -8 + 5 Combine like terms: -8 + 5 = -3 1x = -3 Divide each side by '1'. x = -3 Simplifying x = -3
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