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Simplifying 29.94 + 0.10x = 32.99 + 0.5x Solving 29.94 + 0.10x = 32.99 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 29.94 + 0.10x + -0.5x = 32.99 + 0.5x + -0.5x Combine like terms: 0.10x + -0.5x = -0.4x 29.94 + -0.4x = 32.99 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 29.94 + -0.4x = 32.99 + 0.0 29.94 + -0.4x = 32.99 Add '-29.94' to each side of the equation. 29.94 + -29.94 + -0.4x = 32.99 + -29.94 Combine like terms: 29.94 + -29.94 = 0.00 0.00 + -0.4x = 32.99 + -29.94 -0.4x = 32.99 + -29.94 Combine like terms: 32.99 + -29.94 = 3.05 -0.4x = 3.05 Divide each side by '-0.4'. x = -7.625 Simplifying x = -7.625
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