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Simplifying 0.3x + 21 = -0.7x + 8 Reorder the terms: 21 + 0.3x = -0.7x + 8 Reorder the terms: 21 + 0.3x = 8 + -0.7x Solving 21 + 0.3x = 8 + -0.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.7x' to each side of the equation. 21 + 0.3x + 0.7x = 8 + -0.7x + 0.7x Combine like terms: 0.3x + 0.7x = 1x 21 + 1x = 8 + -0.7x + 0.7x Combine like terms: -0.7x + 0.7x = 0.0 21 + 1x = 8 + 0.0 21 + 1x = 8 Add '-21' to each side of the equation. 21 + -21 + 1x = 8 + -21 Combine like terms: 21 + -21 = 0 0 + 1x = 8 + -21 1x = 8 + -21 Combine like terms: 8 + -21 = -13 1x = -13 Divide each side by '1'. x = -13 Simplifying x = -13
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