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Simplifying 2(7x + -1) = 5(2x + 2) Reorder the terms: 2(-1 + 7x) = 5(2x + 2) (-1 * 2 + 7x * 2) = 5(2x + 2) (-2 + 14x) = 5(2x + 2) Reorder the terms: -2 + 14x = 5(2 + 2x) -2 + 14x = (2 * 5 + 2x * 5) -2 + 14x = (10 + 10x) Solving -2 + 14x = 10 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -2 + 14x + -10x = 10 + 10x + -10x Combine like terms: 14x + -10x = 4x -2 + 4x = 10 + 10x + -10x Combine like terms: 10x + -10x = 0 -2 + 4x = 10 + 0 -2 + 4x = 10 Add '2' to each side of the equation. -2 + 2 + 4x = 10 + 2 Combine like terms: -2 + 2 = 0 0 + 4x = 10 + 2 4x = 10 + 2 Combine like terms: 10 + 2 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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