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Simplifying 3(5x + -1) = 5(5x + 1) + 40 Reorder the terms: 3(-1 + 5x) = 5(5x + 1) + 40 (-1 * 3 + 5x * 3) = 5(5x + 1) + 40 (-3 + 15x) = 5(5x + 1) + 40 Reorder the terms: -3 + 15x = 5(1 + 5x) + 40 -3 + 15x = (1 * 5 + 5x * 5) + 40 -3 + 15x = (5 + 25x) + 40 Reorder the terms: -3 + 15x = 5 + 40 + 25x Combine like terms: 5 + 40 = 45 -3 + 15x = 45 + 25x Solving -3 + 15x = 45 + 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. -3 + 15x + -25x = 45 + 25x + -25x Combine like terms: 15x + -25x = -10x -3 + -10x = 45 + 25x + -25x Combine like terms: 25x + -25x = 0 -3 + -10x = 45 + 0 -3 + -10x = 45 Add '3' to each side of the equation. -3 + 3 + -10x = 45 + 3 Combine like terms: -3 + 3 = 0 0 + -10x = 45 + 3 -10x = 45 + 3 Combine like terms: 45 + 3 = 48 -10x = 48 Divide each side by '-10'. x = -4.8 Simplifying x = -4.8
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