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Simplifying 0.4x + -0.5(2x + 7) = -0.7(X + 4) Reorder the terms: 0.4x + -0.5(7 + 2x) = -0.7(X + 4) 0.4x + (7 * -0.5 + 2x * -0.5) = -0.7(X + 4) 0.4x + (-3.5 + -1x) = -0.7(X + 4) Reorder the terms: -3.5 + 0.4x + -1x = -0.7(X + 4) Combine like terms: 0.4x + -1x = -0.6x -3.5 + -0.6x = -0.7(X + 4) Reorder the terms: -3.5 + -0.6x = -0.7(4 + X) -3.5 + -0.6x = (4 * -0.7 + X * -0.7) -3.5 + -0.6x = (-2.8 + -0.7X) Solving -3.5 + -0.6x = -2.8 + -0.7X Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3.5' to each side of the equation. -3.5 + 3.5 + -0.6x = -2.8 + 3.5 + -0.7X Combine like terms: -3.5 + 3.5 = 0.0 0.0 + -0.6x = -2.8 + 3.5 + -0.7X -0.6x = -2.8 + 3.5 + -0.7X Combine like terms: -2.8 + 3.5 = 0.7 -0.6x = 0.7 + -0.7X Divide each side by '-0.6'. x = -1.166666667 + 1.166666667X Simplifying x = -1.166666667 + 1.166666667X
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