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Simplifying 3 + 0.6x + 4 = 4x + -0.4x Reorder the terms: 3 + 4 + 0.6x = 4x + -0.4x Combine like terms: 3 + 4 = 7 7 + 0.6x = 4x + -0.4x Combine like terms: 4x + -0.4x = 3.6x 7 + 0.6x = 3.6x Solving 7 + 0.6x = 3.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.6x' to each side of the equation. 7 + 0.6x + -3.6x = 3.6x + -3.6x Combine like terms: 0.6x + -3.6x = -3x 7 + -3x = 3.6x + -3.6x Combine like terms: 3.6x + -3.6x = 0.0 7 + -3x = 0.0 Add '-7' to each side of the equation. 7 + -7 + -3x = 0.0 + -7 Combine like terms: 7 + -7 = 0 0 + -3x = 0.0 + -7 -3x = 0.0 + -7 Combine like terms: 0.0 + -7 = -7 -3x = -7 Divide each side by '-3'. x = 2.333333333 Simplifying x = 2.333333333
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