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Simplifying 5(7x + -3) = 14(2x + -2) Reorder the terms: 5(-3 + 7x) = 14(2x + -2) (-3 * 5 + 7x * 5) = 14(2x + -2) (-15 + 35x) = 14(2x + -2) Reorder the terms: -15 + 35x = 14(-2 + 2x) -15 + 35x = (-2 * 14 + 2x * 14) -15 + 35x = (-28 + 28x) Solving -15 + 35x = -28 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. -15 + 35x + -28x = -28 + 28x + -28x Combine like terms: 35x + -28x = 7x -15 + 7x = -28 + 28x + -28x Combine like terms: 28x + -28x = 0 -15 + 7x = -28 + 0 -15 + 7x = -28 Add '15' to each side of the equation. -15 + 15 + 7x = -28 + 15 Combine like terms: -15 + 15 = 0 0 + 7x = -28 + 15 7x = -28 + 15 Combine like terms: -28 + 15 = -13 7x = -13 Divide each side by '7'. x = -1.857142857 Simplifying x = -1.857142857
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