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Simplifying 5x + -4 = 6 + 2(x + -8) Reorder the terms: -4 + 5x = 6 + 2(x + -8) Reorder the terms: -4 + 5x = 6 + 2(-8 + x) -4 + 5x = 6 + (-8 * 2 + x * 2) -4 + 5x = 6 + (-16 + 2x) Combine like terms: 6 + -16 = -10 -4 + 5x = -10 + 2x Solving -4 + 5x = -10 + 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 = -10 + 2x + -2x Combine like terms: 5x + -2x = 3x -4 + 3x = -10 + 2x + -2x Combine like terms: 2x + -2x = 0 -4 + 3x = -10 + 0 -4 + 3x = -10 Add '4' to each side of the equation. -4 + 4 + 3x = -10 + 4 Combine like terms: -4 + 4 = 0 0 + 3x = -10 + 4 3x = -10 + 4 Combine like terms: -10 + 4 = -6 3x = -6 Divide each side by '3'. x = -2 Simplifying x = -2
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