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Simplifying 5 + 5(3x + 5) = 8x + (3x + -18) Reorder the terms: 5 + 5(5 + 3x) = 8x + (3x + -18) 5 + (5 * 5 + 3x * 5) = 8x + (3x + -18) 5 + (25 + 15x) = 8x + (3x + -18) Combine like terms: 5 + 25 = 30 30 + 15x = 8x + (3x + -18) Reorder the terms: 30 + 15x = 8x + (-18 + 3x) Remove parenthesis around (-18 + 3x) 30 + 15x = 8x + -18 + 3x Reorder the terms: 30 + 15x = -18 + 8x + 3x Combine like terms: 8x + 3x = 11x 30 + 15x = -18 + 11x Solving 30 + 15x = -18 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 30 + 15x + -11x = -18 + 11x + -11x Combine like terms: 15x + -11x = 4x 30 + 4x = -18 + 11x + -11x Combine like terms: 11x + -11x = 0 30 + 4x = -18 + 0 30 + 4x = -18 Add '-30' to each side of the equation. 30 + -30 + 4x = -18 + -30 Combine like terms: 30 + -30 = 0 0 + 4x = -18 + -30 4x = -18 + -30 Combine like terms: -18 + -30 = -48 4x = -48 Divide each side by '4'. x = -12 Simplifying x = -12
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