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Simplifying 3x + -2(3x + 4) = 2x + 7 Reorder the terms: 3x + -2(4 + 3x) = 2x + 7 3x + (4 * -2 + 3x * -2) = 2x + 7 3x + (-8 + -6x) = 2x + 7 Reorder the terms: -8 + 3x + -6x = 2x + 7 Combine like terms: 3x + -6x = -3x -8 + -3x = 2x + 7 Reorder the terms: -8 + -3x = 7 + 2x Solving -8 + -3x = 7 + 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. -8 + -3x + -2x = 7 + 2x + -2x Combine like terms: -3x + -2x = -5x -8 + -5x = 7 + 2x + -2x Combine like terms: 2x + -2x = 0 -8 + -5x = 7 + 0 -8 + -5x = 7 Add '8' to each side of the equation. -8 + 8 + -5x = 7 + 8 Combine like terms: -8 + 8 = 0 0 + -5x = 7 + 8 -5x = 7 + 8 Combine like terms: 7 + 8 = 15 -5x = 15 Divide each side by '-5'. x = -3 Simplifying x = -3
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