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Simplifying 0.15x + -2.5 = 0.4(x + -5) Reorder the terms: -2.5 + 0.15x = 0.4(x + -5) Reorder the terms: -2.5 + 0.15x = 0.4(-5 + x) -2.5 + 0.15x = (-5 * 0.4 + x * 0.4) -2.5 + 0.15x = (-2 + 0.4x) Solving -2.5 + 0.15x = -2 + 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. -2.5 + 0.15x + -0.4x = -2 + 0.4x + -0.4x Combine like terms: 0.15x + -0.4x = -0.25x -2.5 + -0.25x = -2 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 -2.5 + -0.25x = -2 + 0.0 -2.5 + -0.25x = -2 Add '2.5' to each side of the equation. -2.5 + 2.5 + -0.25x = -2 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + -0.25x = -2 + 2.5 -0.25x = -2 + 2.5 Combine like terms: -2 + 2.5 = 0.5 -0.25x = 0.5 Divide each side by '-0.25'. x = -2 Simplifying x = -2
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