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Simplifying 3x + [5x + 4(x + -1)] = 7x + 21 Reorder the terms: 3x + [5x + 4(-1 + x)] = 7x + 21 3x + [5x + (-1 * 4 + x * 4)] = 7x + 21 3x + [5x + (-4 + 4x)] = 7x + 21 Reorder the terms: 3x + [-4 + 5x + 4x] = 7x + 21 Combine like terms: 5x + 4x = 9x 3x + [-4 + 9x] = 7x + 21 Remove brackets around [-4 + 9x] 3x + -4 + 9x = 7x + 21 Reorder the terms: -4 + 3x + 9x = 7x + 21 Combine like terms: 3x + 9x = 12x -4 + 12x = 7x + 21 Reorder the terms: -4 + 12x = 21 + 7x Solving -4 + 12x = 21 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -4 + 12x + -7x = 21 + 7x + -7x Combine like terms: 12x + -7x = 5x -4 + 5x = 21 + 7x + -7x Combine like terms: 7x + -7x = 0 -4 + 5x = 21 + 0 -4 + 5x = 21 Add '4' to each side of the equation. -4 + 4 + 5x = 21 + 4 Combine like terms: -4 + 4 = 0 0 + 5x = 21 + 4 5x = 21 + 4 Combine like terms: 21 + 4 = 25 5x = 25 Divide each side by '5'. x = 5 Simplifying x = 5
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