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Simplifying 3x + 4 + 1 = 2(2x + 7) Reorder the terms: 4 + 1 + 3x = 2(2x + 7) Combine like terms: 4 + 1 = 5 5 + 3x = 2(2x + 7) Reorder the terms: 5 + 3x = 2(7 + 2x) 5 + 3x = (7 * 2 + 2x * 2) 5 + 3x = (14 + 4x) Solving 5 + 3x = 14 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 5 + 3x + -4x = 14 + 4x + -4x Combine like terms: 3x + -4x = -1x 5 + -1x = 14 + 4x + -4x Combine like terms: 4x + -4x = 0 5 + -1x = 14 + 0 5 + -1x = 14 Add '-5' to each side of the equation. 5 + -5 + -1x = 14 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 14 + -5 -1x = 14 + -5 Combine like terms: 14 + -5 = 9 -1x = 9 Divide each side by '-1'. x = -9 Simplifying x = -9
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