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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 = -0.5x -1 + -0.5x = -6 + 4.5x + -4.5x Combine like terms: 4.5x + -4.5x = 0.0 -1 + -0.5x = -6 + 0.0 -1 + -0.5x = -6 Add '1' to each side of the equation. -1 + 1 + -0.5x = -6 + 1 Combine like terms: -1 + 1 = 0 0 + -0.5x = -6 + 1 -0.5x = -6 + 1 Combine like terms: -6 + 1 = -5 -0.5x = -5 Divide each side by '-0.5'. x = 10 Simplifying x = 10
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