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Simplifying 0.09(6x + 6) = 0.54(x + 7) + -3.24 Reorder the terms: 0.09(6 + 6x) = 0.54(x + 7) + -3.24 (6 * 0.09 + 6x * 0.09) = 0.54(x + 7) + -3.24 (0.54 + 0.54x) = 0.54(x + 7) + -3.24 Reorder the terms: 0.54 + 0.54x = 0.54(7 + x) + -3.24 0.54 + 0.54x = (7 * 0.54 + x * 0.54) + -3.24 0.54 + 0.54x = (3.78 + 0.54x) + -3.24 Reorder the terms: 0.54 + 0.54x = 3.78 + -3.24 + 0.54x Combine like terms: 3.78 + -3.24 = 0.54 0.54 + 0.54x = 0.54 + 0.54x Add '-0.54' to each side of the equation. 0.54 + -0.54 + 0.54x = 0.54 + -0.54 + 0.54x Combine like terms: 0.54 + -0.54 = 0.00 0.00 + 0.54x = 0.54 + -0.54 + 0.54x 0.54x = 0.54 + -0.54 + 0.54x Combine like terms: 0.54 + -0.54 = 0.00 0.54x = 0.00 + 0.54x 0.54x = 0.54x Add '-0.54x' to each side of the equation. 0.54x + -0.54x = 0.54x + -0.54x Combine like terms: 0.54x + -0.54x = 0.00 0.00 = 0.54x + -0.54x Combine like terms: 0.54x + -0.54x = 0.00 0.00 = 0.00 Solving 0.00 = 0.00 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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