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Simplifying 0.25x + -2 = 0.4(x + -2) Reorder the terms: -2 + 0.25x = 0.4(x + -2) Reorder the terms: -2 + 0.25x = 0.4(-2 + x) -2 + 0.25x = (-2 * 0.4 + x * 0.4) -2 + 0.25x = (-0.8 + 0.4x) Solving -2 + 0.25x = -0.8 + 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. -2 + 0.25x + -0.4x = -0.8 + 0.4x + -0.4x Combine like terms: 0.25x + -0.4x = -0.15x -2 + -0.15x = -0.8 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 -2 + -0.15x = -0.8 + 0.0 -2 + -0.15x = -0.8 Add '2' to each side of the equation. -2 + 2 + -0.15x = -0.8 + 2 Combine like terms: -2 + 2 = 0 0 + -0.15x = -0.8 + 2 -0.15x = -0.8 + 2 Combine like terms: -0.8 + 2 = 1.2 -0.15x = 1.2 Divide each side by '-0.15'. x = -8 Simplifying x = -8
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