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Simplifying 0.5(x + -4) + -3 = 0.667(x + -7) Reorder the terms: 0.5(-4 + x) + -3 = 0.667(x + -7) (-4 * 0.5 + x * 0.5) + -3 = 0.667(x + -7) (-2 + 0.5x) + -3 = 0.667(x + -7) Reorder the terms: -2 + -3 + 0.5x = 0.667(x + -7) Combine like terms: -2 + -3 = -5 -5 + 0.5x = 0.667(x + -7) Reorder the terms: -5 + 0.5x = 0.667(-7 + x) -5 + 0.5x = (-7 * 0.667 + x * 0.667) -5 + 0.5x = (-4.669 + 0.667x) Solving -5 + 0.5x = -4.669 + 0.667x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.667x' to each side of the equation. -5 + 0.5x + -0.667x = -4.669 + 0.667x + -0.667x Combine like terms: 0.5x + -0.667x = -0.167x -5 + -0.167x = -4.669 + 0.667x + -0.667x Combine like terms: 0.667x + -0.667x = 0.000 -5 + -0.167x = -4.669 + 0.000 -5 + -0.167x = -4.669 Add '5' to each side of the equation. -5 + 5 + -0.167x = -4.669 + 5 Combine like terms: -5 + 5 = 0 0 + -0.167x = -4.669 + 5 -0.167x = -4.669 + 5 Combine like terms: -4.669 + 5 = 0.331 -0.167x = 0.331 Divide each side by '-0.167'. x = -1.982035928 Simplifying x = -1.982035928
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