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Simplifying 0.2(4x + -36) = -0.4(x + -3) Reorder the terms: 0.2(-36 + 4x) = -0.4(x + -3) (-36 * 0.2 + 4x * 0.2) = -0.4(x + -3) (-7.2 + 0.8x) = -0.4(x + -3) Reorder the terms: -7.2 + 0.8x = -0.4(-3 + x) -7.2 + 0.8x = (-3 * -0.4 + x * -0.4) -7.2 + 0.8x = (1.2 + -0.4x) Solving -7.2 + 0.8x = 1.2 + -0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.4x' to each side of the equation. -7.2 + 0.8x + 0.4x = 1.2 + -0.4x + 0.4x Combine like terms: 0.8x + 0.4x = 1.2x -7.2 + 1.2x = 1.2 + -0.4x + 0.4x Combine like terms: -0.4x + 0.4x = 0.0 -7.2 + 1.2x = 1.2 + 0.0 -7.2 + 1.2x = 1.2 Add '7.2' to each side of the equation. -7.2 + 7.2 + 1.2x = 1.2 + 7.2 Combine like terms: -7.2 + 7.2 = 0.0 0.0 + 1.2x = 1.2 + 7.2 1.2x = 1.2 + 7.2 Combine like terms: 1.2 + 7.2 = 8.4 1.2x = 8.4 Divide each side by '1.2'. x = 7 Simplifying x = 7
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