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Simplifying 4x + 5(6x + 5) = -3 + -4(5x + -7) Reorder the terms: 4x + 5(5 + 6x) = -3 + -4(5x + -7) 4x + (5 * 5 + 6x * 5) = -3 + -4(5x + -7) 4x + (25 + 30x) = -3 + -4(5x + -7) Reorder the terms: 25 + 4x + 30x = -3 + -4(5x + -7) Combine like terms: 4x + 30x = 34x 25 + 34x = -3 + -4(5x + -7) Reorder the terms: 25 + 34x = -3 + -4(-7 + 5x) 25 + 34x = -3 + (-7 * -4 + 5x * -4) 25 + 34x = -3 + (28 + -20x) Combine like terms: -3 + 28 = 25 25 + 34x = 25 + -20x Add '-25' to each side of the equation. 25 + -25 + 34x = 25 + -25 + -20x Combine like terms: 25 + -25 = 0 0 + 34x = 25 + -25 + -20x 34x = 25 + -25 + -20x Combine like terms: 25 + -25 = 0 34x = 0 + -20x 34x = -20x Solving 34x = -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. 34x + 20x = -20x + 20x Combine like terms: 34x + 20x = 54x 54x = -20x + 20x Combine like terms: -20x + 20x = 0 54x = 0 Divide each side by '54'. x = 0 Simplifying x = 0
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