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Simplifying 0.3x + -0.14x + -0.81 = -0.6x + 29 Reorder the terms: -0.81 + 0.3x + -0.14x = -0.6x + 29 Combine like terms: 0.3x + -0.14x = 0.16x -0.81 + 0.16x = -0.6x + 29 Reorder the terms: -0.81 + 0.16x = 29 + -0.6x Solving -0.81 + 0.16x = 29 + -0.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.6x' to each side of the equation. -0.81 + 0.16x + 0.6x = 29 + -0.6x + 0.6x Combine like terms: 0.16x + 0.6x = 0.76x -0.81 + 0.76x = 29 + -0.6x + 0.6x Combine like terms: -0.6x + 0.6x = 0.0 -0.81 + 0.76x = 29 + 0.0 -0.81 + 0.76x = 29 Add '0.81' to each side of the equation. -0.81 + 0.81 + 0.76x = 29 + 0.81 Combine like terms: -0.81 + 0.81 = 0.00 0.00 + 0.76x = 29 + 0.81 0.76x = 29 + 0.81 Combine like terms: 29 + 0.81 = 29.81 0.76x = 29.81 Divide each side by '0.76'. x = 39.22368421 Simplifying x = 39.22368421
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