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Simplifying 0.1x + 0.11x + -4.3 = 0.3x + -4.597 Reorder the terms: -4.3 + 0.1x + 0.11x = 0.3x + -4.597 Combine like terms: 0.1x + 0.11x = 0.21x -4.3 + 0.21x = 0.3x + -4.597 Reorder the terms: -4.3 + 0.21x = -4.597 + 0.3x Solving -4.3 + 0.21x = -4.597 + 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. -4.3 + 0.21x + -0.3x = -4.597 + 0.3x + -0.3x Combine like terms: 0.21x + -0.3x = -0.09x -4.3 + -0.09x = -4.597 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 -4.3 + -0.09x = -4.597 + 0.0 -4.3 + -0.09x = -4.597 Add '4.3' to each side of the equation. -4.3 + 4.3 + -0.09x = -4.597 + 4.3 Combine like terms: -4.3 + 4.3 = 0.0 0.0 + -0.09x = -4.597 + 4.3 -0.09x = -4.597 + 4.3 Combine like terms: -4.597 + 4.3 = -0.297 -0.09x = -0.297 Divide each side by '-0.09'. x = 3.3 Simplifying x = 3.3
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