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Simplifying 7x + 5 = -4x + 3x + 21 Reorder the terms: 5 + 7x = -4x + 3x + 21 Reorder the terms: 5 + 7x = 21 + -4x + 3x Combine like terms: -4x + 3x = -1x 5 + 7x = 21 + -1x Solving 5 + 7x = 21 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 5 + 7x + x = 21 + -1x + x Combine like terms: 7x + x = 8x 5 + 8x = 21 + -1x + x Combine like terms: -1x + x = 0 5 + 8x = 21 + 0 5 + 8x = 21 Add '-5' to each side of the equation. 5 + -5 + 8x = 21 + -5 Combine like terms: 5 + -5 = 0 0 + 8x = 21 + -5 8x = 21 + -5 Combine like terms: 21 + -5 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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