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Simplifying 0.4(x + -2) = 0.15(x + -4) Reorder the terms: 0.4(-2 + x) = 0.15(x + -4) (-2 * 0.4 + x * 0.4) = 0.15(x + -4) (-0.8 + 0.4x) = 0.15(x + -4) Reorder the terms: -0.8 + 0.4x = 0.15(-4 + x) -0.8 + 0.4x = (-4 * 0.15 + x * 0.15) -0.8 + 0.4x = (-0.6 + 0.15x) Solving -0.8 + 0.4x = -0.6 + 0.15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.15x' to each side of the equation. -0.8 + 0.4x + -0.15x = -0.6 + 0.15x + -0.15x Combine like terms: 0.4x + -0.15x = 0.25x -0.8 + 0.25x = -0.6 + 0.15x + -0.15x Combine like terms: 0.15x + -0.15x = 0.00 -0.8 + 0.25x = -0.6 + 0.00 -0.8 + 0.25x = -0.6 Add '0.8' to each side of the equation. -0.8 + 0.8 + 0.25x = -0.6 + 0.8 Combine like terms: -0.8 + 0.8 = 0.0 0.0 + 0.25x = -0.6 + 0.8 0.25x = -0.6 + 0.8 Combine like terms: -0.6 + 0.8 = 0.2 0.25x = 0.2 Divide each side by '0.25'. x = 0.8 Simplifying x = 0.8
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