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Simplifying -7x + 12 + 5x + x = 21 + -4 + x + 3x Reorder the terms: 12 + -7x + 5x + x = 21 + -4 + x + 3x Combine like terms: -7x + 5x = -2x 12 + -2x + x = 21 + -4 + x + 3x Combine like terms: -2x + x = -1x 12 + -1x = 21 + -4 + x + 3x Combine like terms: 21 + -4 = 17 12 + -1x = 17 + x + 3x Combine like terms: x + 3x = 4x 12 + -1x = 17 + 4x Solving 12 + -1x = 17 + 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. 12 + -1x + -4x = 17 + 4x + -4x Combine like terms: -1x + -4x = -5x 12 + -5x = 17 + 4x + -4x Combine like terms: 4x + -4x = 0 12 + -5x = 17 + 0 12 + -5x = 17 Add '-12' to each side of the equation. 12 + -12 + -5x = 17 + -12 Combine like terms: 12 + -12 = 0 0 + -5x = 17 + -12 -5x = 17 + -12 Combine like terms: 17 + -12 = 5 -5x = 5 Divide each side by '-5'. x = -1 Simplifying x = -1
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