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Simplifying -2(x + 3) = 3(x + 4) + 7 Reorder the terms: -2(3 + x) = 3(x + 4) + 7 (3 * -2 + x * -2) = 3(x + 4) + 7 (-6 + -2x) = 3(x + 4) + 7 Reorder the terms: -6 + -2x = 3(4 + x) + 7 -6 + -2x = (4 * 3 + x * 3) + 7 -6 + -2x = (12 + 3x) + 7 Reorder the terms: -6 + -2x = 12 + 7 + 3x Combine like terms: 12 + 7 = 19 -6 + -2x = 19 + 3x Solving -6 + -2x = 19 + 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. -6 + -2x + -3x = 19 + 3x + -3x Combine like terms: -2x + -3x = -5x -6 + -5x = 19 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + -5x = 19 + 0 -6 + -5x = 19 Add '6' to each side of the equation. -6 + 6 + -5x = 19 + 6 Combine like terms: -6 + 6 = 0 0 + -5x = 19 + 6 -5x = 19 + 6 Combine like terms: 19 + 6 = 25 -5x = 25 Divide each side by '-5'. x = -5 Simplifying x = -5
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