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Simplifying 0.04(x + 8) = 0.02(2x + 7) + 0.18 Reorder the terms: 0.04(8 + x) = 0.02(2x + 7) + 0.18 (8 * 0.04 + x * 0.04) = 0.02(2x + 7) + 0.18 (0.32 + 0.04x) = 0.02(2x + 7) + 0.18 Reorder the terms: 0.32 + 0.04x = 0.02(7 + 2x) + 0.18 0.32 + 0.04x = (7 * 0.02 + 2x * 0.02) + 0.18 0.32 + 0.04x = (0.14 + 0.04x) + 0.18 Reorder the terms: 0.32 + 0.04x = 0.14 + 0.18 + 0.04x Combine like terms: 0.14 + 0.18 = 0.32 0.32 + 0.04x = 0.32 + 0.04x Add '-0.32' to each side of the equation. 0.32 + -0.32 + 0.04x = 0.32 + -0.32 + 0.04x Combine like terms: 0.32 + -0.32 = 0.00 0.00 + 0.04x = 0.32 + -0.32 + 0.04x 0.04x = 0.32 + -0.32 + 0.04x Combine like terms: 0.32 + -0.32 = 0.00 0.04x = 0.00 + 0.04x 0.04x = 0.04x Add '-0.04x' to each side of the equation. 0.04x + -0.04x = 0.04x + -0.04x Combine like terms: 0.04x + -0.04x = 0.00 0.00 = 0.04x + -0.04x Combine like terms: 0.04x + -0.04x = 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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