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Simplifying 6x + -5.4 + 3.2x = 4(30.5 + x) Reorder the terms: -5.4 + 6x + 3.2x = 4(30.5 + x) Combine like terms: 6x + 3.2x = 9.2x -5.4 + 9.2x = 4(30.5 + x) -5.4 + 9.2x = (30.5 * 4 + x * 4) -5.4 + 9.2x = (122 + 4x) Solving -5.4 + 9.2x = 122 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -5.4 + 9.2x + -4x = 122 + 4x + -4x Combine like terms: 9.2x + -4x = 5.2x -5.4 + 5.2x = 122 + 4x + -4x Combine like terms: 4x + -4x = 0 -5.4 + 5.2x = 122 + 0 -5.4 + 5.2x = 122 Add '5.4' to each side of the equation. -5.4 + 5.4 + 5.2x = 122 + 5.4 Combine like terms: -5.4 + 5.4 = 0.0 0.0 + 5.2x = 122 + 5.4 5.2x = 122 + 5.4 Combine like terms: 122 + 5.4 = 127.4 5.2x = 127.4 Divide each side by '5.2'. x = 24.5 Simplifying x = 24.5
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