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Simplifying 0.09(7x + 2) = 0.63(x + 7) + -4.23 Reorder the terms: 0.09(2 + 7x) = 0.63(x + 7) + -4.23 (2 * 0.09 + 7x * 0.09) = 0.63(x + 7) + -4.23 (0.18 + 0.63x) = 0.63(x + 7) + -4.23 Reorder the terms: 0.18 + 0.63x = 0.63(7 + x) + -4.23 0.18 + 0.63x = (7 * 0.63 + x * 0.63) + -4.23 0.18 + 0.63x = (4.41 + 0.63x) + -4.23 Reorder the terms: 0.18 + 0.63x = 4.41 + -4.23 + 0.63x Combine like terms: 4.41 + -4.23 = 0.18 0.18 + 0.63x = 0.18 + 0.63x Add '-0.18' to each side of the equation. 0.18 + -0.18 + 0.63x = 0.18 + -0.18 + 0.63x Combine like terms: 0.18 + -0.18 = 0.00 0.00 + 0.63x = 0.18 + -0.18 + 0.63x 0.63x = 0.18 + -0.18 + 0.63x Combine like terms: 0.18 + -0.18 = 0.00 0.63x = 0.00 + 0.63x 0.63x = 0.63x Add '-0.63x' to each side of the equation. 0.63x + -0.63x = 0.63x + -0.63x Combine like terms: 0.63x + -0.63x = 0.00 0.00 = 0.63x + -0.63x Combine like terms: 0.63x + -0.63x = 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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