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Simplifying 3 + 2x = 4(2x + 4) + -7(x + -1) Reorder the terms: 3 + 2x = 4(4 + 2x) + -7(x + -1) 3 + 2x = (4 * 4 + 2x * 4) + -7(x + -1) 3 + 2x = (16 + 8x) + -7(x + -1) Reorder the terms: 3 + 2x = 16 + 8x + -7(-1 + x) 3 + 2x = 16 + 8x + (-1 * -7 + x * -7) 3 + 2x = 16 + 8x + (7 + -7x) Reorder the terms: 3 + 2x = 16 + 7 + 8x + -7x Combine like terms: 16 + 7 = 23 3 + 2x = 23 + 8x + -7x Combine like terms: 8x + -7x = 1x 3 + 2x = 23 + 1x Solving 3 + 2x = 23 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 3 + 2x + -1x = 23 + 1x + -1x Combine like terms: 2x + -1x = 1x 3 + 1x = 23 + 1x + -1x Combine like terms: 1x + -1x = 0 3 + 1x = 23 + 0 3 + 1x = 23 Add '-3' to each side of the equation. 3 + -3 + 1x = 23 + -3 Combine like terms: 3 + -3 = 0 0 + 1x = 23 + -3 1x = 23 + -3 Combine like terms: 23 + -3 = 20 1x = 20 Divide each side by '1'. x = 20 Simplifying x = 20
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