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Simplifying 5.3(x + 5) = x + 21 Reorder the terms: 5.3(5 + x) = x + 21 (5 * 5.3 + x * 5.3) = x + 21 (26.5 + 5.3x) = x + 21 Reorder the terms: 26.5 + 5.3x = 21 + x Solving 26.5 + 5.3x = 21 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 26.5 + 5.3x + -1x = 21 + x + -1x Combine like terms: 5.3x + -1x = 4.3x 26.5 + 4.3x = 21 + x + -1x Combine like terms: x + -1x = 0 26.5 + 4.3x = 21 + 0 26.5 + 4.3x = 21 Add '-26.5' to each side of the equation. 26.5 + -26.5 + 4.3x = 21 + -26.5 Combine like terms: 26.5 + -26.5 = 0.0 0.0 + 4.3x = 21 + -26.5 4.3x = 21 + -26.5 Combine like terms: 21 + -26.5 = -5.5 4.3x = -5.5 Divide each side by '4.3'. x = -1.279069767 Simplifying x = -1.279069767
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