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Simplifying -0.3x + 1.23 = -0.7x + 5.23 Reorder the terms: 1.23 + -0.3x = -0.7x + 5.23 Reorder the terms: 1.23 + -0.3x = 5.23 + -0.7x Solving 1.23 + -0.3x = 5.23 + -0.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.7x' to each side of the equation. 1.23 + -0.3x + 0.7x = 5.23 + -0.7x + 0.7x Combine like terms: -0.3x + 0.7x = 0.4x 1.23 + 0.4x = 5.23 + -0.7x + 0.7x Combine like terms: -0.7x + 0.7x = 0.0 1.23 + 0.4x = 5.23 + 0.0 1.23 + 0.4x = 5.23 Add '-1.23' to each side of the equation. 1.23 + -1.23 + 0.4x = 5.23 + -1.23 Combine like terms: 1.23 + -1.23 = 0.00 0.00 + 0.4x = 5.23 + -1.23 0.4x = 5.23 + -1.23 Combine like terms: 5.23 + -1.23 = 4 0.4x = 4 Divide each side by '0.4'. x = 10 Simplifying x = 10
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