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Simplifying 5[5x + (-3)] = 6(4x + 1) 5[5x + -3] = 6(4x + 1) Reorder the terms: 5[-3 + 5x] = 6(4x + 1) [-3 * 5 + 5x * 5] = 6(4x + 1) [-15 + 25x] = 6(4x + 1) Reorder the terms: -15 + 25x = 6(1 + 4x) -15 + 25x = (1 * 6 + 4x * 6) -15 + 25x = (6 + 24x) Solving -15 + 25x = 6 + 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 = 6 + 24x + -24x Combine like terms: 25x + -24x = 1x -15 + 1x = 6 + 24x + -24x Combine like terms: 24x + -24x = 0 -15 + 1x = 6 + 0 -15 + 1x = 6 Add '15' to each side of the equation. -15 + 15 + 1x = 6 + 15 Combine like terms: -15 + 15 = 0 0 + 1x = 6 + 15 1x = 6 + 15 Combine like terms: 6 + 15 = 21 1x = 21 Divide each side by '1'. x = 21 Simplifying x = 21
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