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