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Simplifying 0.3x + -0.27 = 0.36 + 0.52x Reorder the terms: -0.27 + 0.3x = 0.36 + 0.52x Solving -0.27 + 0.3x = 0.36 + 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. -0.27 + 0.3x + -0.52x = 0.36 + 0.52x + -0.52x Combine like terms: 0.3x + -0.52x = -0.22x -0.27 + -0.22x = 0.36 + 0.52x + -0.52x Combine like terms: 0.52x + -0.52x = 0.00 -0.27 + -0.22x = 0.36 + 0.00 -0.27 + -0.22x = 0.36 Add '0.27' to each side of the equation. -0.27 + 0.27 + -0.22x = 0.36 + 0.27 Combine like terms: -0.27 + 0.27 = 0.00 0.00 + -0.22x = 0.36 + 0.27 -0.22x = 0.36 + 0.27 Combine like terms: 0.36 + 0.27 = 0.63 -0.22x = 0.63 Divide each side by '-0.22'. x = -2.863636364 Simplifying x = -2.863636364
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