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Simplifying 0.07(6x + -6) = 0.42(x + 7) + -3.36 Reorder the terms: 0.07(-6 + 6x) = 0.42(x + 7) + -3.36 (-6 * 0.07 + 6x * 0.07) = 0.42(x + 7) + -3.36 (-0.42 + 0.42x) = 0.42(x + 7) + -3.36 Reorder the terms: -0.42 + 0.42x = 0.42(7 + x) + -3.36 -0.42 + 0.42x = (7 * 0.42 + x * 0.42) + -3.36 -0.42 + 0.42x = (2.94 + 0.42x) + -3.36 Reorder the terms: -0.42 + 0.42x = 2.94 + -3.36 + 0.42x Combine like terms: 2.94 + -3.36 = -0.42 -0.42 + 0.42x = -0.42 + 0.42x Add '0.42' to each side of the equation. -0.42 + 0.42 + 0.42x = -0.42 + 0.42 + 0.42x Combine like terms: -0.42 + 0.42 = 0.00 0.00 + 0.42x = -0.42 + 0.42 + 0.42x 0.42x = -0.42 + 0.42 + 0.42x Combine like terms: -0.42 + 0.42 = 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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