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Simplifying 1x + -4x + -7 = 5x + -1x + 21 Reorder the terms: -7 + 1x + -4x = 5x + -1x + 21 Combine like terms: 1x + -4x = -3x -7 + -3x = 5x + -1x + 21 Reorder the terms: -7 + -3x = 21 + 5x + -1x Combine like terms: 5x + -1x = 4x -7 + -3x = 21 + 4x Solving -7 + -3x = 21 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -7 + -3x + -4x = 21 + 4x + -4x Combine like terms: -3x + -4x = -7x -7 + -7x = 21 + 4x + -4x Combine like terms: 4x + -4x = 0 -7 + -7x = 21 + 0 -7 + -7x = 21 Add '7' to each side of the equation. -7 + 7 + -7x = 21 + 7 Combine like terms: -7 + 7 = 0 0 + -7x = 21 + 7 -7x = 21 + 7 Combine like terms: 21 + 7 = 28 -7x = 28 Divide each side by '-7'. x = -4 Simplifying x = -4
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