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