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Simplifying 3(x + 14) + 1 = -4x + 5 Reorder the terms: 3(14 + x) + 1 = -4x + 5 (14 * 3 + x * 3) + 1 = -4x + 5 (42 + 3x) + 1 = -4x + 5 Reorder the terms: 42 + 1 + 3x = -4x + 5 Combine like terms: 42 + 1 = 43 43 + 3x = -4x + 5 Reorder the terms: 43 + 3x = 5 + -4x Solving 43 + 3x = 5 + -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. 43 + 3x + 4x = 5 + -4x + 4x Combine like terms: 3x + 4x = 7x 43 + 7x = 5 + -4x + 4x Combine like terms: -4x + 4x = 0 43 + 7x = 5 + 0 43 + 7x = 5 Add '-43' to each side of the equation. 43 + -43 + 7x = 5 + -43 Combine like terms: 43 + -43 = 0 0 + 7x = 5 + -43 7x = 5 + -43 Combine like terms: 5 + -43 = -38 7x = -38 Divide each side by '7'. x = -5.428571429 Simplifying x = -5.428571429
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