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Simplifying x(4) + -1 = x(7) + 2 Reorder the terms for easier multiplication: 4x + -1 = x(7) + 2 Reorder the terms: -1 + 4x = x(7) + 2 Reorder the terms for easier multiplication: -1 + 4x = 7x + 2 Reorder the terms: -1 + 4x = 2 + 7x Solving -1 + 4x = 2 + 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. -1 + 4x + -7x = 2 + 7x + -7x Combine like terms: 4x + -7x = -3x -1 + -3x = 2 + 7x + -7x Combine like terms: 7x + -7x = 0 -1 + -3x = 2 + 0 -1 + -3x = 2 Add '1' to each side of the equation. -1 + 1 + -3x = 2 + 1 Combine like terms: -1 + 1 = 0 0 + -3x = 2 + 1 -3x = 2 + 1 Combine like terms: 2 + 1 = 3 -3x = 3 Divide each side by '-3'. x = -1 Simplifying x = -1
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