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Simplifying 7x + -2 = 4(3x + 5) + 3 Reorder the terms: -2 + 7x = 4(3x + 5) + 3 Reorder the terms: -2 + 7x = 4(5 + 3x) + 3 -2 + 7x = (5 * 4 + 3x * 4) + 3 -2 + 7x = (20 + 12x) + 3 Reorder the terms: -2 + 7x = 20 + 3 + 12x Combine like terms: 20 + 3 = 23 -2 + 7x = 23 + 12x Solving -2 + 7x = 23 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -2 + 7x + -12x = 23 + 12x + -12x Combine like terms: 7x + -12x = -5x -2 + -5x = 23 + 12x + -12x Combine like terms: 12x + -12x = 0 -2 + -5x = 23 + 0 -2 + -5x = 23 Add '2' to each side of the equation. -2 + 2 + -5x = 23 + 2 Combine like terms: -2 + 2 = 0 0 + -5x = 23 + 2 -5x = 23 + 2 Combine like terms: 23 + 2 = 25 -5x = 25 Divide each side by '-5'. x = -5 Simplifying x = -5
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