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Simplifying 7(2x + -1) = 5(2x + 1) Reorder the terms: 7(-1 + 2x) = 5(2x + 1) (-1 * 7 + 2x * 7) = 5(2x + 1) (-7 + 14x) = 5(2x + 1) Reorder the terms: -7 + 14x = 5(1 + 2x) -7 + 14x = (1 * 5 + 2x * 5) -7 + 14x = (5 + 10x) Solving -7 + 14x = 5 + 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. -7 + 14x + -10x = 5 + 10x + -10x Combine like terms: 14x + -10x = 4x -7 + 4x = 5 + 10x + -10x Combine like terms: 10x + -10x = 0 -7 + 4x = 5 + 0 -7 + 4x = 5 Add '7' to each side of the equation. -7 + 7 + 4x = 5 + 7 Combine like terms: -7 + 7 = 0 0 + 4x = 5 + 7 4x = 5 + 7 Combine like terms: 5 + 7 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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