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Simplifying 0.13x + -0.52 = 1.48x + -3.523 Reorder the terms: -0.52 + 0.13x = 1.48x + -3.523 Reorder the terms: -0.52 + 0.13x = -3.523 + 1.48x Solving -0.52 + 0.13x = -3.523 + 1.48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.48x' to each side of the equation. -0.52 + 0.13x + -1.48x = -3.523 + 1.48x + -1.48x Combine like terms: 0.13x + -1.48x = -1.35x -0.52 + -1.35x = -3.523 + 1.48x + -1.48x Combine like terms: 1.48x + -1.48x = 0.00 -0.52 + -1.35x = -3.523 + 0.00 -0.52 + -1.35x = -3.523 Add '0.52' to each side of the equation. -0.52 + 0.52 + -1.35x = -3.523 + 0.52 Combine like terms: -0.52 + 0.52 = 0.00 0.00 + -1.35x = -3.523 + 0.52 -1.35x = -3.523 + 0.52 Combine like terms: -3.523 + 0.52 = -3.003 -1.35x = -3.003 Divide each side by '-1.35'. x = 2.224444444 Simplifying x = 2.224444444
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