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Simplifying 4x + -2(5x + -4) = 6x + (16 + -4x) Reorder the terms: 4x + -2(-4 + 5x) = 6x + (16 + -4x) 4x + (-4 * -2 + 5x * -2) = 6x + (16 + -4x) 4x + (8 + -10x) = 6x + (16 + -4x) Reorder the terms: 8 + 4x + -10x = 6x + (16 + -4x) Combine like terms: 4x + -10x = -6x 8 + -6x = 6x + (16 + -4x) Remove parenthesis around (16 + -4x) 8 + -6x = 6x + 16 + -4x Reorder the terms: 8 + -6x = 16 + 6x + -4x Combine like terms: 6x + -4x = 2x 8 + -6x = 16 + 2x Solving 8 + -6x = 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. 8 + -6x + -2x = 16 + 2x + -2x Combine like terms: -6x + -2x = -8x 8 + -8x = 16 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + -8x = 16 + 0 8 + -8x = 16 Add '-8' to each side of the equation. 8 + -8 + -8x = 16 + -8 Combine like terms: 8 + -8 = 0 0 + -8x = 16 + -8 -8x = 16 + -8 Combine like terms: 16 + -8 = 8 -8x = 8 Divide each side by '-8'. x = -1 Simplifying x = -1
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