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Simplifying 0.4x + 4 = 3x + -9 Reorder the terms: 4 + 0.4x = 3x + -9 Reorder the terms: 4 + 0.4x = -9 + 3x Solving 4 + 0.4x = -9 + 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. 4 + 0.4x + -3x = -9 + 3x + -3x Combine like terms: 0.4x + -3x = -2.6x 4 + -2.6x = -9 + 3x + -3x Combine like terms: 3x + -3x = 0 4 + -2.6x = -9 + 0 4 + -2.6x = -9 Add '-4' to each side of the equation. 4 + -4 + -2.6x = -9 + -4 Combine like terms: 4 + -4 = 0 0 + -2.6x = -9 + -4 -2.6x = -9 + -4 Combine like terms: -9 + -4 = -13 -2.6x = -13 Divide each side by '-2.6'. x = 5 Simplifying x = 5
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