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Simplifying 1.5x + -0.8 = 0.7x + 40 Reorder the terms: -0.8 + 1.5x = 0.7x + 40 Reorder the terms: -0.8 + 1.5x = 40 + 0.7x Solving -0.8 + 1.5x = 40 + 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. -0.8 + 1.5x + -0.7x = 40 + 0.7x + -0.7x Combine like terms: 1.5x + -0.7x = 0.8x -0.8 + 0.8x = 40 + 0.7x + -0.7x Combine like terms: 0.7x + -0.7x = 0.0 -0.8 + 0.8x = 40 + 0.0 -0.8 + 0.8x = 40 Add '0.8' to each side of the equation. -0.8 + 0.8 + 0.8x = 40 + 0.8 Combine like terms: -0.8 + 0.8 = 0.0 0.0 + 0.8x = 40 + 0.8 0.8x = 40 + 0.8 Combine like terms: 40 + 0.8 = 40.8 0.8x = 40.8 Divide each side by '0.8'. x = 51 Simplifying x = 51
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