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Simplifying 3x + [4(x + -1)] = 45 Reorder the terms: 3x + [4(-1 + x)] = 45 3x + [(-1 * 4 + x * 4)] = 45 3x + [(-4 + 4x)] = 45 3x + [-4 + 4x] = 45 Remove brackets around [-4 + 4x] 3x + -4 + 4x = 45 Reorder the terms: -4 + 3x + 4x = 45 Combine like terms: 3x + 4x = 7x -4 + 7x = 45 Solving -4 + 7x = 45 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 7x = 45 + 4 Combine like terms: -4 + 4 = 0 0 + 7x = 45 + 4 7x = 45 + 4 Combine like terms: 45 + 4 = 49 7x = 49 Divide each side by '7'. x = 7 Simplifying x = 7
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