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Simplifying 0.42x + -2.94 = 0.52x + -4.55 Reorder the terms: -2.94 + 0.42x = 0.52x + -4.55 Reorder the terms: -2.94 + 0.42x = -4.55 + 0.52x Solving -2.94 + 0.42x = -4.55 + 0.52x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.52x' to each side of the equation. -2.94 + 0.42x + -0.52x = -4.55 + 0.52x + -0.52x Combine like terms: 0.42x + -0.52x = -0.1x -2.94 + -0.1x = -4.55 + 0.52x + -0.52x Combine like terms: 0.52x + -0.52x = 0.00 -2.94 + -0.1x = -4.55 + 0.00 -2.94 + -0.1x = -4.55 Add '2.94' to each side of the equation. -2.94 + 2.94 + -0.1x = -4.55 + 2.94 Combine like terms: -2.94 + 2.94 = 0.00 0.00 + -0.1x = -4.55 + 2.94 -0.1x = -4.55 + 2.94 Combine like terms: -4.55 + 2.94 = -1.61 -0.1x = -1.61 Divide each side by '-0.1'. x = 16.1 Simplifying x = 16.1
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