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Simplifying -0.4(5 + -1.5x) = 3x + 10 (5 * -0.4 + -1.5x * -0.4) = 3x + 10 (-2 + 0.6x) = 3x + 10 Reorder the terms: -2 + 0.6x = 10 + 3x Solving -2 + 0.6x = 10 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -2 + 0.6x + -3x = 10 + 3x + -3x Combine like terms: 0.6x + -3x = -2.4x -2 + -2.4x = 10 + 3x + -3x Combine like terms: 3x + -3x = 0 -2 + -2.4x = 10 + 0 -2 + -2.4x = 10 Add '2' to each side of the equation. -2 + 2 + -2.4x = 10 + 2 Combine like terms: -2 + 2 = 0 0 + -2.4x = 10 + 2 -2.4x = 10 + 2 Combine like terms: 10 + 2 = 12 -2.4x = 12 Divide each side by '-2.4'. x = -5 Simplifying x = -5
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