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Simplifying 3.4x + 6 = 2.1x + -0.5 Reorder the terms: 6 + 3.4x = 2.1x + -0.5 Reorder the terms: 6 + 3.4x = -0.5 + 2.1x Solving 6 + 3.4x = -0.5 + 2.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.1x' to each side of the equation. 6 + 3.4x + -2.1x = -0.5 + 2.1x + -2.1x Combine like terms: 3.4x + -2.1x = 1.3x 6 + 1.3x = -0.5 + 2.1x + -2.1x Combine like terms: 2.1x + -2.1x = 0.0 6 + 1.3x = -0.5 + 0.0 6 + 1.3x = -0.5 Add '-6' to each side of the equation. 6 + -6 + 1.3x = -0.5 + -6 Combine like terms: 6 + -6 = 0 0 + 1.3x = -0.5 + -6 1.3x = -0.5 + -6 Combine like terms: -0.5 + -6 = -6.5 1.3x = -6.5 Divide each side by '1.3'. x = -5 Simplifying x = -5
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