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Simplifying 45 + -8x = 8x + -21 Reorder the terms: 45 + -8x = -21 + 8x Solving 45 + -8x = -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. 45 + -8x + -8x = -21 + 8x + -8x Combine like terms: -8x + -8x = -16x 45 + -16x = -21 + 8x + -8x Combine like terms: 8x + -8x = 0 45 + -16x = -21 + 0 45 + -16x = -21 Add '-45' to each side of the equation. 45 + -45 + -16x = -21 + -45 Combine like terms: 45 + -45 = 0 0 + -16x = -21 + -45 -16x = -21 + -45 Combine like terms: -21 + -45 = -66 -16x = -66 Divide each side by '-16'. x = 4.125 Simplifying x = 4.125
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