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Simplifying -0.4(x + 3.2) = 0.9(2x + 1.2) Reorder the terms: -0.4(3.2 + x) = 0.9(2x + 1.2) (3.2 * -0.4 + x * -0.4) = 0.9(2x + 1.2) (-1.28 + -0.4x) = 0.9(2x + 1.2) Reorder the terms: -1.28 + -0.4x = 0.9(1.2 + 2x) -1.28 + -0.4x = (1.2 * 0.9 + 2x * 0.9) -1.28 + -0.4x = (1.08 + 1.8x) Solving -1.28 + -0.4x = 1.08 + 1.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.8x' to each side of the equation. -1.28 + -0.4x + -1.8x = 1.08 + 1.8x + -1.8x Combine like terms: -0.4x + -1.8x = -2.2x -1.28 + -2.2x = 1.08 + 1.8x + -1.8x Combine like terms: 1.8x + -1.8x = 0.0 -1.28 + -2.2x = 1.08 + 0.0 -1.28 + -2.2x = 1.08 Add '1.28' to each side of the equation. -1.28 + 1.28 + -2.2x = 1.08 + 1.28 Combine like terms: -1.28 + 1.28 = 0.00 0.00 + -2.2x = 1.08 + 1.28 -2.2x = 1.08 + 1.28 Combine like terms: 1.08 + 1.28 = 2.36 -2.2x = 2.36 Divide each side by '-2.2'. x = -1.072727273 Simplifying x = -1.072727273
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