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Simplifying 0.05(3x + 7) = 0.15(x + -2) + 0.65 Reorder the terms: 0.05(7 + 3x) = 0.15(x + -2) + 0.65 (7 * 0.05 + 3x * 0.05) = 0.15(x + -2) + 0.65 (0.35 + 0.15x) = 0.15(x + -2) + 0.65 Reorder the terms: 0.35 + 0.15x = 0.15(-2 + x) + 0.65 0.35 + 0.15x = (-2 * 0.15 + x * 0.15) + 0.65 0.35 + 0.15x = (-0.3 + 0.15x) + 0.65 Reorder the terms: 0.35 + 0.15x = -0.3 + 0.65 + 0.15x Combine like terms: -0.3 + 0.65 = 0.35 0.35 + 0.15x = 0.35 + 0.15x Add '-0.35' to each side of the equation. 0.35 + -0.35 + 0.15x = 0.35 + -0.35 + 0.15x Combine like terms: 0.35 + -0.35 = 0.00 0.00 + 0.15x = 0.35 + -0.35 + 0.15x 0.15x = 0.35 + -0.35 + 0.15x Combine like terms: 0.35 + -0.35 = 0.00 0.15x = 0.00 + 0.15x 0.15x = 0.15x Add '-0.15x' to each side of the equation. 0.15x + -0.15x = 0.15x + -0.15x Combine like terms: 0.15x + -0.15x = 0.00 0.00 = 0.15x + -0.15x Combine like terms: 0.15x + -0.15x = 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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