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Simplifying 4x + -7 = 8x + 21 Reorder the terms: -7 + 4x = 8x + 21 Reorder the terms: -7 + 4x = 21 + 8x Solving -7 + 4x = 21 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -7 + 4x + -8x = 21 + 8x + -8x Combine like terms: 4x + -8x = -4x -7 + -4x = 21 + 8x + -8x Combine like terms: 8x + -8x = 0 -7 + -4x = 21 + 0 -7 + -4x = 21 Add '7' to each side of the equation. -7 + 7 + -4x = 21 + 7 Combine like terms: -7 + 7 = 0 0 + -4x = 21 + 7 -4x = 21 + 7 Combine like terms: 21 + 7 = 28 -4x = 28 Divide each side by '-4'. x = -7 Simplifying x = -7
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