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Simplifying 0.5(5 + -7) = 8 + -1(4x + 6) Combine like terms: 5 + -7 = -2 0.5(-2) = 8 + -1(4x + 6) Multiply 0.5 * -2 -1 = 8 + -1(4x + 6) Reorder the terms: -1 = 8 + -1(6 + 4x) -1 = 8 + (6 * -1 + 4x * -1) -1 = 8 + (-6 + -4x) Combine like terms: 8 + -6 = 2 -1 = 2 + -4x Solving -1 = 2 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -1 + 4x = 2 + -4x + 4x Combine like terms: -4x + 4x = 0 -1 + 4x = 2 + 0 -1 + 4x = 2 Add '1' to each side of the equation. -1 + 1 + 4x = 2 + 1 Combine like terms: -1 + 1 = 0 0 + 4x = 2 + 1 4x = 2 + 1 Combine like terms: 2 + 1 = 3 4x = 3 Divide each side by '4'. x = 0.75 Simplifying x = 0.75
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