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Simplifying 0.05(7x + 3) = 0.35(x + -1) + 0.50 Reorder the terms: 0.05(3 + 7x) = 0.35(x + -1) + 0.50 (3 * 0.05 + 7x * 0.05) = 0.35(x + -1) + 0.50 (0.15 + 0.35x) = 0.35(x + -1) + 0.50 Reorder the terms: 0.15 + 0.35x = 0.35(-1 + x) + 0.50 0.15 + 0.35x = (-1 * 0.35 + x * 0.35) + 0.50 0.15 + 0.35x = (-0.35 + 0.35x) + 0.50 Reorder the terms: 0.15 + 0.35x = -0.35 + 0.50 + 0.35x Combine like terms: -0.35 + 0.50 = 0.15 0.15 + 0.35x = 0.15 + 0.35x Add '-0.15' to each side of the equation. 0.15 + -0.15 + 0.35x = 0.15 + -0.15 + 0.35x Combine like terms: 0.15 + -0.15 = 0.00 0.00 + 0.35x = 0.15 + -0.15 + 0.35x 0.35x = 0.15 + -0.15 + 0.35x Combine like terms: 0.15 + -0.15 = 0.00 0.35x = 0.00 + 0.35x 0.35x = 0.35x Add '-0.35x' to each side of the equation. 0.35x + -0.35x = 0.35x + -0.35x Combine like terms: 0.35x + -0.35x = 0.00 0.00 = 0.35x + -0.35x Combine like terms: 0.35x + -0.35x = 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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