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Simplifying 0.05(6x + -9) = 0.30(x + -4) + 0.75 Reorder the terms: 0.05(-9 + 6x) = 0.30(x + -4) + 0.75 (-9 * 0.05 + 6x * 0.05) = 0.30(x + -4) + 0.75 (-0.45 + 0.3x) = 0.30(x + -4) + 0.75 Reorder the terms: -0.45 + 0.3x = 0.30(-4 + x) + 0.75 -0.45 + 0.3x = (-4 * 0.30 + x * 0.30) + 0.75 -0.45 + 0.3x = (-1.2 + 0.30x) + 0.75 Reorder the terms: -0.45 + 0.3x = -1.2 + 0.75 + 0.30x Combine like terms: -1.2 + 0.75 = -0.45 -0.45 + 0.3x = -0.45 + 0.30x Add '0.45' to each side of the equation. -0.45 + 0.45 + 0.3x = -0.45 + 0.45 + 0.30x Combine like terms: -0.45 + 0.45 = 0.00 0.00 + 0.3x = -0.45 + 0.45 + 0.30x 0.3x = -0.45 + 0.45 + 0.30x Combine like terms: -0.45 + 0.45 = 0.00 0.3x = 0.00 + 0.30x 0.3x = 0.30x Add '-0.3x' to each side of the equation. 0.3x + -0.3x = 0.30x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 0.0 = 0.30x + -0.3x Combine like terms: 0.30x + -0.3x = 0.00 0.0 = 0.00 Solving 0.0 = 0.00 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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