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Simplifying x + -4 + 7 = 5x + -1x + -21 Reorder the terms: -4 + 7 + x = 5x + -1x + -21 Combine like terms: -4 + 7 = 3 3 + x = 5x + -1x + -21 Reorder the terms: 3 + x = -21 + 5x + -1x Combine like terms: 5x + -1x = 4x 3 + x = -21 + 4x Solving 3 + x = -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. 3 + x + -4x = -21 + 4x + -4x Combine like terms: x + -4x = -3x 3 + -3x = -21 + 4x + -4x Combine like terms: 4x + -4x = 0 3 + -3x = -21 + 0 3 + -3x = -21 Add '-3' to each side of the equation. 3 + -3 + -3x = -21 + -3 Combine like terms: 3 + -3 = 0 0 + -3x = -21 + -3 -3x = -21 + -3 Combine like terms: -21 + -3 = -24 -3x = -24 Divide each side by '-3'. x = 8 Simplifying x = 8
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