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Simplifying 7x + 2 = 3x + 5 + -4(2x + -4) Reorder the terms: 2 + 7x = 3x + 5 + -4(2x + -4) Reorder the terms: 2 + 7x = 3x + 5 + -4(-4 + 2x) 2 + 7x = 3x + 5 + (-4 * -4 + 2x * -4) 2 + 7x = 3x + 5 + (16 + -8x) Reorder the terms: 2 + 7x = 5 + 16 + 3x + -8x Combine like terms: 5 + 16 = 21 2 + 7x = 21 + 3x + -8x Combine like terms: 3x + -8x = -5x 2 + 7x = 21 + -5x Solving 2 + 7x = 21 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 2 + 7x + 5x = 21 + -5x + 5x Combine like terms: 7x + 5x = 12x 2 + 12x = 21 + -5x + 5x Combine like terms: -5x + 5x = 0 2 + 12x = 21 + 0 2 + 12x = 21 Add '-2' to each side of the equation. 2 + -2 + 12x = 21 + -2 Combine like terms: 2 + -2 = 0 0 + 12x = 21 + -2 12x = 21 + -2 Combine like terms: 21 + -2 = 19 12x = 19 Divide each side by '12'. x = 1.583333333 Simplifying x = 1.583333333
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