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Simplifying 0.4x + 3.2 = 3x + -7 Reorder the terms: 3.2 + 0.4x = 3x + -7 Reorder the terms: 3.2 + 0.4x = -7 + 3x Solving 3.2 + 0.4x = -7 + 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. 3.2 + 0.4x + -3x = -7 + 3x + -3x Combine like terms: 0.4x + -3x = -2.6x 3.2 + -2.6x = -7 + 3x + -3x Combine like terms: 3x + -3x = 0 3.2 + -2.6x = -7 + 0 3.2 + -2.6x = -7 Add '-3.2' to each side of the equation. 3.2 + -3.2 + -2.6x = -7 + -3.2 Combine like terms: 3.2 + -3.2 = 0.0 0.0 + -2.6x = -7 + -3.2 -2.6x = -7 + -3.2 Combine like terms: -7 + -3.2 = -10.2 -2.6x = -10.2 Divide each side by '-2.6'. x = 3.923076923 Simplifying x = 3.923076923
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