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Simplifying 3(x + 4) + 1 = 2(2x + 7) Reorder the terms: 3(4 + x) + 1 = 2(2x + 7) (4 * 3 + x * 3) + 1 = 2(2x + 7) (12 + 3x) + 1 = 2(2x + 7) Reorder the terms: 12 + 1 + 3x = 2(2x + 7) Combine like terms: 12 + 1 = 13 13 + 3x = 2(2x + 7) Reorder the terms: 13 + 3x = 2(7 + 2x) 13 + 3x = (7 * 2 + 2x * 2) 13 + 3x = (14 + 4x) Solving 13 + 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. 13 + 3x + -4x = 14 + 4x + -4x Combine like terms: 3x + -4x = -1x 13 + -1x = 14 + 4x + -4x Combine like terms: 4x + -4x = 0 13 + -1x = 14 + 0 13 + -1x = 14 Add '-13' to each side of the equation. 13 + -13 + -1x = 14 + -13 Combine like terms: 13 + -13 = 0 0 + -1x = 14 + -13 -1x = 14 + -13 Combine like terms: 14 + -13 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1
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