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Simplifying 0.4(x + -5) = 3x + 1 Reorder the terms: 0.4(-5 + x) = 3x + 1 (-5 * 0.4 + x * 0.4) = 3x + 1 (-2 + 0.4x) = 3x + 1 Reorder the terms: -2 + 0.4x = 1 + 3x Solving -2 + 0.4x = 1 + 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 + 0.4x + -3x = 1 + 3x + -3x Combine like terms: 0.4x + -3x = -2.6x -2 + -2.6x = 1 + 3x + -3x Combine like terms: 3x + -3x = 0 -2 + -2.6x = 1 + 0 -2 + -2.6x = 1 Add '2' to each side of the equation. -2 + 2 + -2.6x = 1 + 2 Combine like terms: -2 + 2 = 0 0 + -2.6x = 1 + 2 -2.6x = 1 + 2 Combine like terms: 1 + 2 = 3 -2.6x = 3 Divide each side by '-2.6'. x = -1.153846154 Simplifying x = -1.153846154
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