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Simplifying 6x + -5(4x + 5) = x + -1(5x + 7) + -3 Reorder the terms: 6x + -5(5 + 4x) = x + -1(5x + 7) + -3 6x + (5 * -5 + 4x * -5) = x + -1(5x + 7) + -3 6x + (-25 + -20x) = x + -1(5x + 7) + -3 Reorder the terms: -25 + 6x + -20x = x + -1(5x + 7) + -3 Combine like terms: 6x + -20x = -14x -25 + -14x = x + -1(5x + 7) + -3 Reorder the terms: -25 + -14x = x + -1(7 + 5x) + -3 -25 + -14x = x + (7 * -1 + 5x * -1) + -3 -25 + -14x = x + (-7 + -5x) + -3 Reorder the terms: -25 + -14x = -7 + -3 + x + -5x Combine like terms: -7 + -3 = -10 -25 + -14x = -10 + x + -5x Combine like terms: x + -5x = -4x -25 + -14x = -10 + -4x Solving -25 + -14x = -10 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -25 + -14x + 4x = -10 + -4x + 4x Combine like terms: -14x + 4x = -10x -25 + -10x = -10 + -4x + 4x Combine like terms: -4x + 4x = 0 -25 + -10x = -10 + 0 -25 + -10x = -10 Add '25' to each side of the equation. -25 + 25 + -10x = -10 + 25 Combine like terms: -25 + 25 = 0 0 + -10x = -10 + 25 -10x = -10 + 25 Combine like terms: -10 + 25 = 15 -10x = 15 Divide each side by '-10'. x = -1.5 Simplifying x = -1.5
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