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Simplifying 5 + -1(7 + -4x) = 8 + 2(3x + -5) 5 + (7 * -1 + -4x * -1) = 8 + 2(3x + -5) 5 + (-7 + 4x) = 8 + 2(3x + -5) Combine like terms: 5 + -7 = -2 -2 + 4x = 8 + 2(3x + -5) Reorder the terms: -2 + 4x = 8 + 2(-5 + 3x) -2 + 4x = 8 + (-5 * 2 + 3x * 2) -2 + 4x = 8 + (-10 + 6x) Combine like terms: 8 + -10 = -2 -2 + 4x = -2 + 6x Add '2' to each side of the equation. -2 + 2 + 4x = -2 + 2 + 6x Combine like terms: -2 + 2 = 0 0 + 4x = -2 + 2 + 6x 4x = -2 + 2 + 6x Combine like terms: -2 + 2 = 0 4x = 0 + 6x 4x = 6x Solving 4x = 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. 4x + -6x = 6x + -6x Combine like terms: 4x + -6x = -2x -2x = 6x + -6x Combine like terms: 6x + -6x = 0 -2x = 0 Divide each side by '-2'. x = 0 Simplifying x = 0
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