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Simplifying 0.5x + -1(8 * 5) = 3x + -2 Multiply 8 * 5 0.5x + -1(40) = 3x + -2 Multiply -1 * 40 0.5x + -40 = 3x + -2 Reorder the terms: -40 + 0.5x = 3x + -2 Reorder the terms: -40 + 0.5x = -2 + 3x Solving -40 + 0.5x = -2 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -40 + 0.5x + -3x = -2 + 3x + -3x Combine like terms: 0.5x + -3x = -2.5x -40 + -2.5x = -2 + 3x + -3x Combine like terms: 3x + -3x = 0 -40 + -2.5x = -2 + 0 -40 + -2.5x = -2 Add '40' to each side of the equation. -40 + 40 + -2.5x = -2 + 40 Combine like terms: -40 + 40 = 0 0 + -2.5x = -2 + 40 -2.5x = -2 + 40 Combine like terms: -2 + 40 = 38 -2.5x = 38 Divide each side by '-2.5'. x = -15.2 Simplifying x = -15.2
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