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