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Simplifying 0.04(9x + -1) = 36(x + 7) + -2.56 Reorder the terms: 0.04(-1 + 9x) = 36(x + 7) + -2.56 (-1 * 0.04 + 9x * 0.04) = 36(x + 7) + -2.56 (-0.04 + 0.36x) = 36(x + 7) + -2.56 Reorder the terms: -0.04 + 0.36x = 36(7 + x) + -2.56 -0.04 + 0.36x = (7 * 36 + x * 36) + -2.56 -0.04 + 0.36x = (252 + 36x) + -2.56 Reorder the terms: -0.04 + 0.36x = 252 + -2.56 + 36x Combine like terms: 252 + -2.56 = 249.44 -0.04 + 0.36x = 249.44 + 36x Solving -0.04 + 0.36x = 249.44 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. -0.04 + 0.36x + -36x = 249.44 + 36x + -36x Combine like terms: 0.36x + -36x = -35.64x -0.04 + -35.64x = 249.44 + 36x + -36x Combine like terms: 36x + -36x = 0 -0.04 + -35.64x = 249.44 + 0 -0.04 + -35.64x = 249.44 Add '0.04' to each side of the equation. -0.04 + 0.04 + -35.64x = 249.44 + 0.04 Combine like terms: -0.04 + 0.04 = 0.00 0.00 + -35.64x = 249.44 + 0.04 -35.64x = 249.44 + 0.04 Combine like terms: 249.44 + 0.04 = 249.48 -35.64x = 249.48 Divide each side by '-35.64'. x = -7 Simplifying x = -7
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