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Simplifying 7x + -14 = 7(5x + -6) Reorder the terms: -14 + 7x = 7(5x + -6) Reorder the terms: -14 + 7x = 7(-6 + 5x) -14 + 7x = (-6 * 7 + 5x * 7) -14 + 7x = (-42 + 35x) Solving -14 + 7x = -42 + 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. -14 + 7x + -35x = -42 + 35x + -35x Combine like terms: 7x + -35x = -28x -14 + -28x = -42 + 35x + -35x Combine like terms: 35x + -35x = 0 -14 + -28x = -42 + 0 -14 + -28x = -42 Add '14' to each side of the equation. -14 + 14 + -28x = -42 + 14 Combine like terms: -14 + 14 = 0 0 + -28x = -42 + 14 -28x = -42 + 14 Combine like terms: -42 + 14 = -28 -28x = -28 Divide each side by '-28'. x = 1 Simplifying x = 1
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