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Simplifying 3(x + -2) + -2(3x + 4) = 2x + 5 Reorder the terms: 3(-2 + x) + -2(3x + 4) = 2x + 5 (-2 * 3 + x * 3) + -2(3x + 4) = 2x + 5 (-6 + 3x) + -2(3x + 4) = 2x + 5 Reorder the terms: -6 + 3x + -2(4 + 3x) = 2x + 5 -6 + 3x + (4 * -2 + 3x * -2) = 2x + 5 -6 + 3x + (-8 + -6x) = 2x + 5 Reorder the terms: -6 + -8 + 3x + -6x = 2x + 5 Combine like terms: -6 + -8 = -14 -14 + 3x + -6x = 2x + 5 Combine like terms: 3x + -6x = -3x -14 + -3x = 2x + 5 Reorder the terms: -14 + -3x = 5 + 2x Solving -14 + -3x = 5 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -14 + -3x + -2x = 5 + 2x + -2x Combine like terms: -3x + -2x = -5x -14 + -5x = 5 + 2x + -2x Combine like terms: 2x + -2x = 0 -14 + -5x = 5 + 0 -14 + -5x = 5 Add '14' to each side of the equation. -14 + 14 + -5x = 5 + 14 Combine like terms: -14 + 14 = 0 0 + -5x = 5 + 14 -5x = 5 + 14 Combine like terms: 5 + 14 = 19 -5x = 19 Divide each side by '-5'. x = -3.8 Simplifying x = -3.8
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