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Simplifying -0.9x + 1.95 = -0.4x + 0.45 Reorder the terms: 1.95 + -0.9x = -0.4x + 0.45 Reorder the terms: 1.95 + -0.9x = 0.45 + -0.4x Solving 1.95 + -0.9x = 0.45 + -0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.4x' to each side of the equation. 1.95 + -0.9x + 0.4x = 0.45 + -0.4x + 0.4x Combine like terms: -0.9x + 0.4x = -0.5x 1.95 + -0.5x = 0.45 + -0.4x + 0.4x Combine like terms: -0.4x + 0.4x = 0.0 1.95 + -0.5x = 0.45 + 0.0 1.95 + -0.5x = 0.45 Add '-1.95' to each side of the equation. 1.95 + -1.95 + -0.5x = 0.45 + -1.95 Combine like terms: 1.95 + -1.95 = 0.00 0.00 + -0.5x = 0.45 + -1.95 -0.5x = 0.45 + -1.95 Combine like terms: 0.45 + -1.95 = -1.5 -0.5x = -1.5 Divide each side by '-0.5'. x = 3 Simplifying x = 3
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