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Simplifying 3(x + 5) = -1(4x + 23) Reorder the terms: 3(5 + x) = -1(4x + 23) (5 * 3 + x * 3) = -1(4x + 23) (15 + 3x) = -1(4x + 23) Reorder the terms: 15 + 3x = -1(23 + 4x) 15 + 3x = (23 * -1 + 4x * -1) 15 + 3x = (-23 + -4x) Solving 15 + 3x = -23 + -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. 15 + 3x + 4x = -23 + -4x + 4x Combine like terms: 3x + 4x = 7x 15 + 7x = -23 + -4x + 4x Combine like terms: -4x + 4x = 0 15 + 7x = -23 + 0 15 + 7x = -23 Add '-15' to each side of the equation. 15 + -15 + 7x = -23 + -15 Combine like terms: 15 + -15 = 0 0 + 7x = -23 + -15 7x = -23 + -15 Combine like terms: -23 + -15 = -38 7x = -38 Divide each side by '7'. x = -5.428571429 Simplifying x = -5.428571429
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