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Simplifying -4x + -10 = 4(2x + 4) + -2 Reorder the terms: -10 + -4x = 4(2x + 4) + -2 Reorder the terms: -10 + -4x = 4(4 + 2x) + -2 -10 + -4x = (4 * 4 + 2x * 4) + -2 -10 + -4x = (16 + 8x) + -2 Reorder the terms: -10 + -4x = 16 + -2 + 8x Combine like terms: 16 + -2 = 14 -10 + -4x = 14 + 8x Solving -10 + -4x = 14 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -10 + -4x + -8x = 14 + 8x + -8x Combine like terms: -4x + -8x = -12x -10 + -12x = 14 + 8x + -8x Combine like terms: 8x + -8x = 0 -10 + -12x = 14 + 0 -10 + -12x = 14 Add '10' to each side of the equation. -10 + 10 + -12x = 14 + 10 Combine like terms: -10 + 10 = 0 0 + -12x = 14 + 10 -12x = 14 + 10 Combine like terms: 14 + 10 = 24 -12x = 24 Divide each side by '-12'. x = -2 Simplifying x = -2
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