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Simplifying 4(3x + -5) + 6 = 2x + -14 Reorder the terms: 4(-5 + 3x) + 6 = 2x + -14 (-5 * 4 + 3x * 4) + 6 = 2x + -14 (-20 + 12x) + 6 = 2x + -14 Reorder the terms: -20 + 6 + 12x = 2x + -14 Combine like terms: -20 + 6 = -14 -14 + 12x = 2x + -14 Reorder the terms: -14 + 12x = -14 + 2x Add '14' to each side of the equation. -14 + 14 + 12x = -14 + 14 + 2x Combine like terms: -14 + 14 = 0 0 + 12x = -14 + 14 + 2x 12x = -14 + 14 + 2x Combine like terms: -14 + 14 = 0 12x = 0 + 2x 12x = 2x Solving 12x = 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 12x + -2x = 2x + -2x Combine like terms: 12x + -2x = 10x 10x = 2x + -2x Combine like terms: 2x + -2x = 0 10x = 0 Divide each side by '10'. x = 0.0 Simplifying x = 0.0
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