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Simplifying 2x + -12 + 14x = 5(5x + -4) + 5 Reorder the terms: -12 + 2x + 14x = 5(5x + -4) + 5 Combine like terms: 2x + 14x = 16x -12 + 16x = 5(5x + -4) + 5 Reorder the terms: -12 + 16x = 5(-4 + 5x) + 5 -12 + 16x = (-4 * 5 + 5x * 5) + 5 -12 + 16x = (-20 + 25x) + 5 Reorder the terms: -12 + 16x = -20 + 5 + 25x Combine like terms: -20 + 5 = -15 -12 + 16x = -15 + 25x Solving -12 + 16x = -15 + 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. -12 + 16x + -25x = -15 + 25x + -25x Combine like terms: 16x + -25x = -9x -12 + -9x = -15 + 25x + -25x Combine like terms: 25x + -25x = 0 -12 + -9x = -15 + 0 -12 + -9x = -15 Add '12' to each side of the equation. -12 + 12 + -9x = -15 + 12 Combine like terms: -12 + 12 = 0 0 + -9x = -15 + 12 -9x = -15 + 12 Combine like terms: -15 + 12 = -3 -9x = -3 Divide each side by '-9'. x = 0.3333333333 Simplifying x = 0.3333333333
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