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Simplifying 0.024x + 5.859 = 0.010x + 5.852 Reorder the terms: 5.859 + 0.024x = 0.010x + 5.852 Reorder the terms: 5.859 + 0.024x = 5.852 + 0.010x Solving 5.859 + 0.024x = 5.852 + 0.010x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.010x' to each side of the equation. 5.859 + 0.024x + -0.010x = 5.852 + 0.010x + -0.010x Combine like terms: 0.024x + -0.010x = 0.014x 5.859 + 0.014x = 5.852 + 0.010x + -0.010x Combine like terms: 0.010x + -0.010x = 0.000 5.859 + 0.014x = 5.852 + 0.000 5.859 + 0.014x = 5.852 Add '-5.859' to each side of the equation. 5.859 + -5.859 + 0.014x = 5.852 + -5.859 Combine like terms: 5.859 + -5.859 = 0.000 0.000 + 0.014x = 5.852 + -5.859 0.014x = 5.852 + -5.859 Combine like terms: 5.852 + -5.859 = -0.007 0.014x = -0.007 Divide each side by '0.014'. x = -0.5 Simplifying x = -0.5
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