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Simplifying 4x + -21 = 8x + -45 Reorder the terms: -21 + 4x = 8x + -45 Reorder the terms: -21 + 4x = -45 + 8x Solving -21 + 4x = -45 + 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. -21 + 4x + -8x = -45 + 8x + -8x Combine like terms: 4x + -8x = -4x -21 + -4x = -45 + 8x + -8x Combine like terms: 8x + -8x = 0 -21 + -4x = -45 + 0 -21 + -4x = -45 Add '21' to each side of the equation. -21 + 21 + -4x = -45 + 21 Combine like terms: -21 + 21 = 0 0 + -4x = -45 + 21 -4x = -45 + 21 Combine like terms: -45 + 21 = -24 -4x = -24 Divide each side by '-4'. x = 6 Simplifying x = 6
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