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Simplifying 0.07(6x + 5) = 0.42(x + 7) + -2.59 Reorder the terms: 0.07(5 + 6x) = 0.42(x + 7) + -2.59 (5 * 0.07 + 6x * 0.07) = 0.42(x + 7) + -2.59 (0.35 + 0.42x) = 0.42(x + 7) + -2.59 Reorder the terms: 0.35 + 0.42x = 0.42(7 + x) + -2.59 0.35 + 0.42x = (7 * 0.42 + x * 0.42) + -2.59 0.35 + 0.42x = (2.94 + 0.42x) + -2.59 Reorder the terms: 0.35 + 0.42x = 2.94 + -2.59 + 0.42x Combine like terms: 2.94 + -2.59 = 0.35 0.35 + 0.42x = 0.35 + 0.42x Add '-0.35' to each side of the equation. 0.35 + -0.35 + 0.42x = 0.35 + -0.35 + 0.42x Combine like terms: 0.35 + -0.35 = 0.00 0.00 + 0.42x = 0.35 + -0.35 + 0.42x 0.42x = 0.35 + -0.35 + 0.42x Combine like terms: 0.35 + -0.35 = 0.00 0.42x = 0.00 + 0.42x 0.42x = 0.42x Add '-0.42x' to each side of the equation. 0.42x + -0.42x = 0.42x + -0.42x Combine like terms: 0.42x + -0.42x = 0.00 0.00 = 0.42x + -0.42x Combine like terms: 0.42x + -0.42x = 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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