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Simplifying -7.6x + 6 = 5.4x + 2 Reorder the terms: 6 + -7.6x = 5.4x + 2 Reorder the terms: 6 + -7.6x = 2 + 5.4x Solving 6 + -7.6x = 2 + 5.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.4x' to each side of the equation. 6 + -7.6x + -5.4x = 2 + 5.4x + -5.4x Combine like terms: -7.6x + -5.4x = -13x 6 + -13x = 2 + 5.4x + -5.4x Combine like terms: 5.4x + -5.4x = 0.0 6 + -13x = 2 + 0.0 6 + -13x = 2 Add '-6' to each side of the equation. 6 + -6 + -13x = 2 + -6 Combine like terms: 6 + -6 = 0 0 + -13x = 2 + -6 -13x = 2 + -6 Combine like terms: 2 + -6 = -4 -13x = -4 Divide each side by '-13'. x = 0.3076923077 Simplifying x = 0.3076923077
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