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Simplifying 5(x + 3) + -5 = -1(4x + 8) Reorder the terms: 5(3 + x) + -5 = -1(4x + 8) (3 * 5 + x * 5) + -5 = -1(4x + 8) (15 + 5x) + -5 = -1(4x + 8) Reorder the terms: 15 + -5 + 5x = -1(4x + 8) Combine like terms: 15 + -5 = 10 10 + 5x = -1(4x + 8) Reorder the terms: 10 + 5x = -1(8 + 4x) 10 + 5x = (8 * -1 + 4x * -1) 10 + 5x = (-8 + -4x) Solving 10 + 5x = -8 + -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. 10 + 5x + 4x = -8 + -4x + 4x Combine like terms: 5x + 4x = 9x 10 + 9x = -8 + -4x + 4x Combine like terms: -4x + 4x = 0 10 + 9x = -8 + 0 10 + 9x = -8 Add '-10' to each side of the equation. 10 + -10 + 9x = -8 + -10 Combine like terms: 10 + -10 = 0 0 + 9x = -8 + -10 9x = -8 + -10 Combine like terms: -8 + -10 = -18 9x = -18 Divide each side by '9'. x = -2 Simplifying x = -2
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