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Simplifying 0.19(2x + -15) = 0.38(10 + x) + -6.65 Reorder the terms: 0.19(-15 + 2x) = 0.38(10 + x) + -6.65 (-15 * 0.19 + 2x * 0.19) = 0.38(10 + x) + -6.65 (-2.85 + 0.38x) = 0.38(10 + x) + -6.65 -2.85 + 0.38x = (10 * 0.38 + x * 0.38) + -6.65 -2.85 + 0.38x = (3.8 + 0.38x) + -6.65 Reorder the terms: -2.85 + 0.38x = 3.8 + -6.65 + 0.38x Combine like terms: 3.8 + -6.65 = -2.85 -2.85 + 0.38x = -2.85 + 0.38x Add '2.85' to each side of the equation. -2.85 + 2.85 + 0.38x = -2.85 + 2.85 + 0.38x Combine like terms: -2.85 + 2.85 = 0.00 0.00 + 0.38x = -2.85 + 2.85 + 0.38x 0.38x = -2.85 + 2.85 + 0.38x Combine like terms: -2.85 + 2.85 = 0.00 0.38x = 0.00 + 0.38x 0.38x = 0.38x Add '-0.38x' to each side of the equation. 0.38x + -0.38x = 0.38x + -0.38x Combine like terms: 0.38x + -0.38x = 0.00 0.00 = 0.38x + -0.38x Combine like terms: 0.38x + -0.38x = 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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