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Simplifying 5(5x + -3) = 6(4x + 1) + 17 Reorder the terms: 5(-3 + 5x) = 6(4x + 1) + 17 (-3 * 5 + 5x * 5) = 6(4x + 1) + 17 (-15 + 25x) = 6(4x + 1) + 17 Reorder the terms: -15 + 25x = 6(1 + 4x) + 17 -15 + 25x = (1 * 6 + 4x * 6) + 17 -15 + 25x = (6 + 24x) + 17 Reorder the terms: -15 + 25x = 6 + 17 + 24x Combine like terms: 6 + 17 = 23 -15 + 25x = 23 + 24x Solving -15 + 25x = 23 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -15 + 25x + -24x = 23 + 24x + -24x Combine like terms: 25x + -24x = 1x -15 + 1x = 23 + 24x + -24x Combine like terms: 24x + -24x = 0 -15 + 1x = 23 + 0 -15 + 1x = 23 Add '15' to each side of the equation. -15 + 15 + 1x = 23 + 15 Combine like terms: -15 + 15 = 0 0 + 1x = 23 + 15 1x = 23 + 15 Combine like terms: 23 + 15 = 38 1x = 38 Divide each side by '1'. x = 38 Simplifying x = 38
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