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Simplifying 5(2x + -1) = 5(5x + -14) Reorder the terms: 5(-1 + 2x) = 5(5x + -14) (-1 * 5 + 2x * 5) = 5(5x + -14) (-5 + 10x) = 5(5x + -14) Reorder the terms: -5 + 10x = 5(-14 + 5x) -5 + 10x = (-14 * 5 + 5x * 5) -5 + 10x = (-70 + 25x) Solving -5 + 10x = -70 + 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. -5 + 10x + -25x = -70 + 25x + -25x Combine like terms: 10x + -25x = -15x -5 + -15x = -70 + 25x + -25x Combine like terms: 25x + -25x = 0 -5 + -15x = -70 + 0 -5 + -15x = -70 Add '5' to each side of the equation. -5 + 5 + -15x = -70 + 5 Combine like terms: -5 + 5 = 0 0 + -15x = -70 + 5 -15x = -70 + 5 Combine like terms: -70 + 5 = -65 -15x = -65 Divide each side by '-15'. x = 4.333333333 Simplifying x = 4.333333333
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