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Simplifying 3x + -2(4x + 5) = x + 2 Reorder the terms: 3x + -2(5 + 4x) = x + 2 3x + (5 * -2 + 4x * -2) = x + 2 3x + (-10 + -8x) = x + 2 Reorder the terms: -10 + 3x + -8x = x + 2 Combine like terms: 3x + -8x = -5x -10 + -5x = x + 2 Reorder the terms: -10 + -5x = 2 + x Solving -10 + -5x = 2 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -10 + -5x + -1x = 2 + x + -1x Combine like terms: -5x + -1x = -6x -10 + -6x = 2 + x + -1x Combine like terms: x + -1x = 0 -10 + -6x = 2 + 0 -10 + -6x = 2 Add '10' to each side of the equation. -10 + 10 + -6x = 2 + 10 Combine like terms: -10 + 10 = 0 0 + -6x = 2 + 10 -6x = 2 + 10 Combine like terms: 2 + 10 = 12 -6x = 12 Divide each side by '-6'. x = -2 Simplifying x = -2
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