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Simplifying 1 + -5(30x + -5) + 10x = 5(4x + 5) + 2 Reorder the terms: 1 + -5(-5 + 30x) + 10x = 5(4x + 5) + 2 1 + (-5 * -5 + 30x * -5) + 10x = 5(4x + 5) + 2 1 + (25 + -150x) + 10x = 5(4x + 5) + 2 Combine like terms: 1 + 25 = 26 26 + -150x + 10x = 5(4x + 5) + 2 Combine like terms: -150x + 10x = -140x 26 + -140x = 5(4x + 5) + 2 Reorder the terms: 26 + -140x = 5(5 + 4x) + 2 26 + -140x = (5 * 5 + 4x * 5) + 2 26 + -140x = (25 + 20x) + 2 Reorder the terms: 26 + -140x = 25 + 2 + 20x Combine like terms: 25 + 2 = 27 26 + -140x = 27 + 20x Solving 26 + -140x = 27 + 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. 26 + -140x + -20x = 27 + 20x + -20x Combine like terms: -140x + -20x = -160x 26 + -160x = 27 + 20x + -20x Combine like terms: 20x + -20x = 0 26 + -160x = 27 + 0 26 + -160x = 27 Add '-26' to each side of the equation. 26 + -26 + -160x = 27 + -26 Combine like terms: 26 + -26 = 0 0 + -160x = 27 + -26 -160x = 27 + -26 Combine like terms: 27 + -26 = 1 -160x = 1 Divide each side by '-160'. x = -0.00625 Simplifying x = -0.00625
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