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Simplifying (8x + -17) + -1(3x + 13) = (18 + -7x) Reorder the terms: (-17 + 8x) + -1(3x + 13) = (18 + -7x) Remove parenthesis around (-17 + 8x) -17 + 8x + -1(3x + 13) = (18 + -7x) Reorder the terms: -17 + 8x + -1(13 + 3x) = (18 + -7x) -17 + 8x + (13 * -1 + 3x * -1) = (18 + -7x) -17 + 8x + (-13 + -3x) = (18 + -7x) Reorder the terms: -17 + -13 + 8x + -3x = (18 + -7x) Combine like terms: -17 + -13 = -30 -30 + 8x + -3x = (18 + -7x) Combine like terms: 8x + -3x = 5x -30 + 5x = (18 + -7x) Remove parenthesis around (18 + -7x) -30 + 5x = 18 + -7x Solving -30 + 5x = 18 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -30 + 5x + 7x = 18 + -7x + 7x Combine like terms: 5x + 7x = 12x -30 + 12x = 18 + -7x + 7x Combine like terms: -7x + 7x = 0 -30 + 12x = 18 + 0 -30 + 12x = 18 Add '30' to each side of the equation. -30 + 30 + 12x = 18 + 30 Combine like terms: -30 + 30 = 0 0 + 12x = 18 + 30 12x = 18 + 30 Combine like terms: 18 + 30 = 48 12x = 48 Divide each side by '12'. x = 4 Simplifying x = 4
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