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Simplifying (51x + -14) = 0.5(15x + -29) Reorder the terms: (-14 + 51x) = 0.5(15x + -29) Remove parenthesis around (-14 + 51x) -14 + 51x = 0.5(15x + -29) Reorder the terms: -14 + 51x = 0.5(-29 + 15x) -14 + 51x = (-29 * 0.5 + 15x * 0.5) -14 + 51x = (-14.5 + 7.5x) Solving -14 + 51x = -14.5 + 7.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7.5x' to each side of the equation. -14 + 51x + -7.5x = -14.5 + 7.5x + -7.5x Combine like terms: 51x + -7.5x = 43.5x -14 + 43.5x = -14.5 + 7.5x + -7.5x Combine like terms: 7.5x + -7.5x = 0.0 -14 + 43.5x = -14.5 + 0.0 -14 + 43.5x = -14.5 Add '14' to each side of the equation. -14 + 14 + 43.5x = -14.5 + 14 Combine like terms: -14 + 14 = 0 0 + 43.5x = -14.5 + 14 43.5x = -14.5 + 14 Combine like terms: -14.5 + 14 = -0.5 43.5x = -0.5 Divide each side by '43.5'. x = -0.01149425287 Simplifying x = -0.01149425287
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