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Simplifying 4x + 1 = -4.5x + 6 Reorder the terms: 1 + 4x = -4.5x + 6 Reorder the terms: 1 + 4x = 6 + -4.5x Solving 1 + 4x = 6 + -4.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4.5x' to each side of the equation. 1 + 4x + 4.5x = 6 + -4.5x + 4.5x Combine like terms: 4x + 4.5x = 8.5x 1 + 8.5x = 6 + -4.5x + 4.5x Combine like terms: -4.5x + 4.5x = 0.0 1 + 8.5x = 6 + 0.0 1 + 8.5x = 6 Add '-1' to each side of the equation. 1 + -1 + 8.5x = 6 + -1 Combine like terms: 1 + -1 = 0 0 + 8.5x = 6 + -1 8.5x = 6 + -1 Combine like terms: 6 + -1 = 5 8.5x = 5 Divide each side by '8.5'. x = 0.5882352941 Simplifying x = 0.5882352941
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