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Simplifying (18x + -15) = (13x + -11) + (4x + 1) Reorder the terms: (-15 + 18x) = (13x + -11) + (4x + 1) Remove parenthesis around (-15 + 18x) -15 + 18x = (13x + -11) + (4x + 1) Reorder the terms: -15 + 18x = (-11 + 13x) + (4x + 1) Remove parenthesis around (-11 + 13x) -15 + 18x = -11 + 13x + (4x + 1) Reorder the terms: -15 + 18x = -11 + 13x + (1 + 4x) Remove parenthesis around (1 + 4x) -15 + 18x = -11 + 13x + 1 + 4x Reorder the terms: -15 + 18x = -11 + 1 + 13x + 4x Combine like terms: -11 + 1 = -10 -15 + 18x = -10 + 13x + 4x Combine like terms: 13x + 4x = 17x -15 + 18x = -10 + 17x Solving -15 + 18x = -10 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. -15 + 18x + -17x = -10 + 17x + -17x Combine like terms: 18x + -17x = 1x -15 + 1x = -10 + 17x + -17x Combine like terms: 17x + -17x = 0 -15 + 1x = -10 + 0 -15 + 1x = -10 Add '15' to each side of the equation. -15 + 15 + 1x = -10 + 15 Combine like terms: -15 + 15 = 0 0 + 1x = -10 + 15 1x = -10 + 15 Combine like terms: -10 + 15 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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