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Simplifying 0.2(5x + 35) = 1.0(x + 7) Reorder the terms: 0.2(35 + 5x) = 1.0(x + 7) (35 * 0.2 + 5x * 0.2) = 1.0(x + 7) (7 + 1x) = 1.0(x + 7) Reorder the terms: 7 + 1x = 1.0(7 + x) 7 + 1x = (7 * 1.0 + x * 1.0) 7 + 1x = (7 + 1.0x) Add '-7' to each side of the equation. 7 + -7 + 1x = 7 + -7 + 1.0x Combine like terms: 7 + -7 = 0 0 + 1x = 7 + -7 + 1.0x 1x = 7 + -7 + 1.0x Combine like terms: 7 + -7 = 0 1x = 0 + 1.0x 1x = 1.0x Add '-1x' to each side of the equation. 1x + -1x = 1.0x + -1x Combine like terms: 1x + -1x = 0 0 = 1.0x + -1x Combine like terms: 1.0x + -1x = 0.0 0 = 0.0 Solving 0 = 0.0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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