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Simplifying -9.6 + -1(x + 2) = 2(0.4x + -1.8) Reorder the terms: -9.6 + -1(2 + x) = 2(0.4x + -1.8) -9.6 + (2 * -1 + x * -1) = 2(0.4x + -1.8) -9.6 + (-2 + -1x) = 2(0.4x + -1.8) Combine like terms: -9.6 + -2 = -11.6 -11.6 + -1x = 2(0.4x + -1.8) Reorder the terms: -11.6 + -1x = 2(-1.8 + 0.4x) -11.6 + -1x = (-1.8 * 2 + 0.4x * 2) -11.6 + -1x = (-3.6 + 0.8x) Solving -11.6 + -1x = -3.6 + 0.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.8x' to each side of the equation. -11.6 + -1x + -0.8x = -3.6 + 0.8x + -0.8x Combine like terms: -1x + -0.8x = -1.8x -11.6 + -1.8x = -3.6 + 0.8x + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 -11.6 + -1.8x = -3.6 + 0.0 -11.6 + -1.8x = -3.6 Add '11.6' to each side of the equation. -11.6 + 11.6 + -1.8x = -3.6 + 11.6 Combine like terms: -11.6 + 11.6 = 0.0 0.0 + -1.8x = -3.6 + 11.6 -1.8x = -3.6 + 11.6 Combine like terms: -3.6 + 11.6 = 8 -1.8x = 8 Divide each side by '-1.8'. x = -4.444444444 Simplifying x = -4.444444444
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