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Simplifying 2x + -1(4 + 6x) = 2(x + -8) 2x + (4 * -1 + 6x * -1) = 2(x + -8) 2x + (-4 + -6x) = 2(x + -8) Reorder the terms: -4 + 2x + -6x = 2(x + -8) Combine like terms: 2x + -6x = -4x -4 + -4x = 2(x + -8) Reorder the terms: -4 + -4x = 2(-8 + x) -4 + -4x = (-8 * 2 + x * 2) -4 + -4x = (-16 + 2x) Solving -4 + -4x = -16 + 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 + -4x + -2x = -16 + 2x + -2x Combine like terms: -4x + -2x = -6x -4 + -6x = -16 + 2x + -2x Combine like terms: 2x + -2x = 0 -4 + -6x = -16 + 0 -4 + -6x = -16 Add '4' to each side of the equation. -4 + 4 + -6x = -16 + 4 Combine like terms: -4 + 4 = 0 0 + -6x = -16 + 4 -6x = -16 + 4 Combine like terms: -16 + 4 = -12 -6x = -12 Divide each side by '-6'. x = 2 Simplifying x = 2
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