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Simplifying 0.4x + -1 = 0.7x + 1.5 Reorder the terms: -1 + 0.4x = 0.7x + 1.5 Reorder the terms: -1 + 0.4x = 1.5 + 0.7x Solving -1 + 0.4x = 1.5 + 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 + 0.4x + -0.7x = 1.5 + 0.7x + -0.7x Combine like terms: 0.4x + -0.7x = -0.3x -1 + -0.3x = 1.5 + 0.7x + -0.7x Combine like terms: 0.7x + -0.7x = 0.0 -1 + -0.3x = 1.5 + 0.0 -1 + -0.3x = 1.5 Add '1' to each side of the equation. -1 + 1 + -0.3x = 1.5 + 1 Combine like terms: -1 + 1 = 0 0 + -0.3x = 1.5 + 1 -0.3x = 1.5 + 1 Combine like terms: 1.5 + 1 = 2.5 -0.3x = 2.5 Divide each side by '-0.3'. x = -8.333333333 Simplifying x = -8.333333333
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