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Simplifying 4x + 3 = 3 + -2x(6) Reorder the terms: 3 + 4x = 3 + -2x(6) Reorder the terms for easier multiplication: 3 + 4x = 3 + -2 * 6x Multiply -2 * 6 3 + 4x = 3 + -12x Add '-3' to each side of the equation. 3 + -3 + 4x = 3 + -3 + -12x Combine like terms: 3 + -3 = 0 0 + 4x = 3 + -3 + -12x 4x = 3 + -3 + -12x Combine like terms: 3 + -3 = 0 4x = 0 + -12x 4x = -12x Solving 4x = -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 4x + 12x = -12x + 12x Combine like terms: 4x + 12x = 16x 16x = -12x + 12x Combine like terms: -12x + 12x = 0 16x = 0 Divide each side by '16'. x = 0 Simplifying x = 0
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