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Simplifying 3(x + 5) + 4x = -1(x + -5) Reorder the terms: 3(5 + x) + 4x = -1(x + -5) (5 * 3 + x * 3) + 4x = -1(x + -5) (15 + 3x) + 4x = -1(x + -5) Combine like terms: 3x + 4x = 7x 15 + 7x = -1(x + -5) Reorder the terms: 15 + 7x = -1(-5 + x) 15 + 7x = (-5 * -1 + x * -1) 15 + 7x = (5 + -1x) Solving 15 + 7x = 5 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 15 + 7x + x = 5 + -1x + x Combine like terms: 7x + x = 8x 15 + 8x = 5 + -1x + x Combine like terms: -1x + x = 0 15 + 8x = 5 + 0 15 + 8x = 5 Add '-15' to each side of the equation. 15 + -15 + 8x = 5 + -15 Combine like terms: 15 + -15 = 0 0 + 8x = 5 + -15 8x = 5 + -15 Combine like terms: 5 + -15 = -10 8x = -10 Divide each side by '8'. x = -1.25 Simplifying x = -1.25
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