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Simplifying 5x + 42 = -21 + 8x Reorder the terms: 42 + 5x = -21 + 8x Solving 42 + 5x = -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. 42 + 5x + -8x = -21 + 8x + -8x Combine like terms: 5x + -8x = -3x 42 + -3x = -21 + 8x + -8x Combine like terms: 8x + -8x = 0 42 + -3x = -21 + 0 42 + -3x = -21 Add '-42' to each side of the equation. 42 + -42 + -3x = -21 + -42 Combine like terms: 42 + -42 = 0 0 + -3x = -21 + -42 -3x = -21 + -42 Combine like terms: -21 + -42 = -63 -3x = -63 Divide each side by '-3'. x = 21 Simplifying x = 21
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