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Simplifying -5x + -1(2x + -4) = 3x + -6 Reorder the terms: -5x + -1(-4 + 2x) = 3x + -6 -5x + (-4 * -1 + 2x * -1) = 3x + -6 -5x + (4 + -2x) = 3x + -6 Reorder the terms: 4 + -5x + -2x = 3x + -6 Combine like terms: -5x + -2x = -7x 4 + -7x = 3x + -6 Reorder the terms: 4 + -7x = -6 + 3x Solving 4 + -7x = -6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 4 + -7x + -3x = -6 + 3x + -3x Combine like terms: -7x + -3x = -10x 4 + -10x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 4 + -10x = -6 + 0 4 + -10x = -6 Add '-4' to each side of the equation. 4 + -4 + -10x = -6 + -4 Combine like terms: 4 + -4 = 0 0 + -10x = -6 + -4 -10x = -6 + -4 Combine like terms: -6 + -4 = -10 -10x = -10 Divide each side by '-10'. x = 1 Simplifying x = 1
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