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Simplifying -0.7x + 29 = 0.3x + 9 Reorder the terms: 29 + -0.7x = 0.3x + 9 Reorder the terms: 29 + -0.7x = 9 + 0.3x Solving 29 + -0.7x = 9 + 0.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3x' to each side of the equation. 29 + -0.7x + -0.3x = 9 + 0.3x + -0.3x Combine like terms: -0.7x + -0.3x = -1x 29 + -1x = 9 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 29 + -1x = 9 + 0.0 29 + -1x = 9 Add '-29' to each side of the equation. 29 + -29 + -1x = 9 + -29 Combine like terms: 29 + -29 = 0 0 + -1x = 9 + -29 -1x = 9 + -29 Combine like terms: 9 + -29 = -20 -1x = -20 Divide each side by '-1'. x = 20 Simplifying x = 20
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