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Simplifying 3(x + -1) + -7x = 2x + 12(1 + -4x) Reorder the terms: 3(-1 + x) + -7x = 2x + 12(1 + -4x) (-1 * 3 + x * 3) + -7x = 2x + 12(1 + -4x) (-3 + 3x) + -7x = 2x + 12(1 + -4x) Combine like terms: 3x + -7x = -4x -3 + -4x = 2x + 12(1 + -4x) -3 + -4x = 2x + (1 * 12 + -4x * 12) -3 + -4x = 2x + (12 + -48x) Reorder the terms: -3 + -4x = 12 + 2x + -48x Combine like terms: 2x + -48x = -46x -3 + -4x = 12 + -46x Solving -3 + -4x = 12 + -46x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '46x' to each side of the equation. -3 + -4x + 46x = 12 + -46x + 46x Combine like terms: -4x + 46x = 42x -3 + 42x = 12 + -46x + 46x Combine like terms: -46x + 46x = 0 -3 + 42x = 12 + 0 -3 + 42x = 12 Add '3' to each side of the equation. -3 + 3 + 42x = 12 + 3 Combine like terms: -3 + 3 = 0 0 + 42x = 12 + 3 42x = 12 + 3 Combine like terms: 12 + 3 = 15 42x = 15 Divide each side by '42'. x = 0.3571428571 Simplifying x = 0.3571428571
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