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Simplifying 14(2x + -6) = 10(2x + 14) Reorder the terms: 14(-6 + 2x) = 10(2x + 14) (-6 * 14 + 2x * 14) = 10(2x + 14) (-84 + 28x) = 10(2x + 14) Reorder the terms: -84 + 28x = 10(14 + 2x) -84 + 28x = (14 * 10 + 2x * 10) -84 + 28x = (140 + 20x) Solving -84 + 28x = 140 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -84 + 28x + -20x = 140 + 20x + -20x Combine like terms: 28x + -20x = 8x -84 + 8x = 140 + 20x + -20x Combine like terms: 20x + -20x = 0 -84 + 8x = 140 + 0 -84 + 8x = 140 Add '84' to each side of the equation. -84 + 84 + 8x = 140 + 84 Combine like terms: -84 + 84 = 0 0 + 8x = 140 + 84 8x = 140 + 84 Combine like terms: 140 + 84 = 224 8x = 224 Divide each side by '8'. x = 28 Simplifying x = 28
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