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Simplifying 4x + 2 = -2(2x + -5) Reorder the terms: 2 + 4x = -2(2x + -5) Reorder the terms: 2 + 4x = -2(-5 + 2x) 2 + 4x = (-5 * -2 + 2x * -2) 2 + 4x = (10 + -4x) Solving 2 + 4x = 10 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 2 + 4x + 4x = 10 + -4x + 4x Combine like terms: 4x + 4x = 8x 2 + 8x = 10 + -4x + 4x Combine like terms: -4x + 4x = 0 2 + 8x = 10 + 0 2 + 8x = 10 Add '-2' to each side of the equation. 2 + -2 + 8x = 10 + -2 Combine like terms: 2 + -2 = 0 0 + 8x = 10 + -2 8x = 10 + -2 Combine like terms: 10 + -2 = 8 8x = 8 Divide each side by '8'. x = 1 Simplifying x = 1
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