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Simplifying -5 + -1(x + 8) + 6 = 4(x + 2) Reorder the terms: -5 + -1(8 + x) + 6 = 4(x + 2) -5 + (8 * -1 + x * -1) + 6 = 4(x + 2) -5 + (-8 + -1x) + 6 = 4(x + 2) Reorder the terms: -5 + -8 + 6 + -1x = 4(x + 2) Combine like terms: -5 + -8 = -13 -13 + 6 + -1x = 4(x + 2) Combine like terms: -13 + 6 = -7 -7 + -1x = 4(x + 2) Reorder the terms: -7 + -1x = 4(2 + x) -7 + -1x = (2 * 4 + x * 4) -7 + -1x = (8 + 4x) Solving -7 + -1x = 8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -7 + -1x + -4x = 8 + 4x + -4x Combine like terms: -1x + -4x = -5x -7 + -5x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 -7 + -5x = 8 + 0 -7 + -5x = 8 Add '7' to each side of the equation. -7 + 7 + -5x = 8 + 7 Combine like terms: -7 + 7 = 0 0 + -5x = 8 + 7 -5x = 8 + 7 Combine like terms: 8 + 7 = 15 -5x = 15 Divide each side by '-5'. x = -3 Simplifying x = -3
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