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Simplifying -8.4 + -3x + -7.2 + -1x = 3x + 3.4 Reorder the terms: -8.4 + -7.2 + -3x + -1x = 3x + 3.4 Combine like terms: -8.4 + -7.2 = -15.6 -15.6 + -3x + -1x = 3x + 3.4 Combine like terms: -3x + -1x = -4x -15.6 + -4x = 3x + 3.4 Reorder the terms: -15.6 + -4x = 3.4 + 3x Solving -15.6 + -4x = 3.4 + 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. -15.6 + -4x + -3x = 3.4 + 3x + -3x Combine like terms: -4x + -3x = -7x -15.6 + -7x = 3.4 + 3x + -3x Combine like terms: 3x + -3x = 0 -15.6 + -7x = 3.4 + 0 -15.6 + -7x = 3.4 Add '15.6' to each side of the equation. -15.6 + 15.6 + -7x = 3.4 + 15.6 Combine like terms: -15.6 + 15.6 = 0.0 0.0 + -7x = 3.4 + 15.6 -7x = 3.4 + 15.6 Combine like terms: 3.4 + 15.6 = 19 -7x = 19 Divide each side by '-7'. x = -2.714285714 Simplifying x = -2.714285714
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