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Simplifying 3x + -2(4x + 5) = 3x + -5 Reorder the terms: 3x + -2(5 + 4x) = 3x + -5 3x + (5 * -2 + 4x * -2) = 3x + -5 3x + (-10 + -8x) = 3x + -5 Reorder the terms: -10 + 3x + -8x = 3x + -5 Combine like terms: 3x + -8x = -5x -10 + -5x = 3x + -5 Reorder the terms: -10 + -5x = -5 + 3x Solving -10 + -5x = -5 + 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. -10 + -5x + -3x = -5 + 3x + -3x Combine like terms: -5x + -3x = -8x -10 + -8x = -5 + 3x + -3x Combine like terms: 3x + -3x = 0 -10 + -8x = -5 + 0 -10 + -8x = -5 Add '10' to each side of the equation. -10 + 10 + -8x = -5 + 10 Combine like terms: -10 + 10 = 0 0 + -8x = -5 + 10 -8x = -5 + 10 Combine like terms: -5 + 10 = 5 -8x = 5 Divide each side by '-8'. x = -0.625 Simplifying x = -0.625
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