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