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Simplifying 0.13x + -0.58 = 1.42x + -0.71 + -3.524 Reorder the terms: -0.58 + 0.13x = 1.42x + -0.71 + -3.524 Reorder the terms: -0.58 + 0.13x = -0.71 + -3.524 + 1.42x Combine like terms: -0.71 + -3.524 = -4.234 -0.58 + 0.13x = -4.234 + 1.42x Solving -0.58 + 0.13x = -4.234 + 1.42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.42x' to each side of the equation. -0.58 + 0.13x + -1.42x = -4.234 + 1.42x + -1.42x Combine like terms: 0.13x + -1.42x = -1.29x -0.58 + -1.29x = -4.234 + 1.42x + -1.42x Combine like terms: 1.42x + -1.42x = 0.00 -0.58 + -1.29x = -4.234 + 0.00 -0.58 + -1.29x = -4.234 Add '0.58' to each side of the equation. -0.58 + 0.58 + -1.29x = -4.234 + 0.58 Combine like terms: -0.58 + 0.58 = 0.00 0.00 + -1.29x = -4.234 + 0.58 -1.29x = -4.234 + 0.58 Combine like terms: -4.234 + 0.58 = -3.654 -1.29x = -3.654 Divide each side by '-1.29'. x = 2.83255814 Simplifying x = 2.83255814
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