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Simplifying 0.26x + -10 + 0.29x = 0.54x + -3 + -0.99x Reorder the terms: -10 + 0.26x + 0.29x = 0.54x + -3 + -0.99x Combine like terms: 0.26x + 0.29x = 0.55x -10 + 0.55x = 0.54x + -3 + -0.99x Reorder the terms: -10 + 0.55x = -3 + 0.54x + -0.99x Combine like terms: 0.54x + -0.99x = -0.45x -10 + 0.55x = -3 + -0.45x Solving -10 + 0.55x = -3 + -0.45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.45x' to each side of the equation. -10 + 0.55x + 0.45x = -3 + -0.45x + 0.45x Combine like terms: 0.55x + 0.45x = 1x -10 + 1x = -3 + -0.45x + 0.45x Combine like terms: -0.45x + 0.45x = 0.00 -10 + 1x = -3 + 0.00 -10 + 1x = -3 Add '10' to each side of the equation. -10 + 10 + 1x = -3 + 10 Combine like terms: -10 + 10 = 0 0 + 1x = -3 + 10 1x = -3 + 10 Combine like terms: -3 + 10 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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