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Simplifying 13x + 15(1 + -2x) = 4 + -13(x + 1) 13x + (1 * 15 + -2x * 15) = 4 + -13(x + 1) 13x + (15 + -30x) = 4 + -13(x + 1) Reorder the terms: 15 + 13x + -30x = 4 + -13(x + 1) Combine like terms: 13x + -30x = -17x 15 + -17x = 4 + -13(x + 1) Reorder the terms: 15 + -17x = 4 + -13(1 + x) 15 + -17x = 4 + (1 * -13 + x * -13) 15 + -17x = 4 + (-13 + -13x) Combine like terms: 4 + -13 = -9 15 + -17x = -9 + -13x Solving 15 + -17x = -9 + -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. 15 + -17x + 13x = -9 + -13x + 13x Combine like terms: -17x + 13x = -4x 15 + -4x = -9 + -13x + 13x Combine like terms: -13x + 13x = 0 15 + -4x = -9 + 0 15 + -4x = -9 Add '-15' to each side of the equation. 15 + -15 + -4x = -9 + -15 Combine like terms: 15 + -15 = 0 0 + -4x = -9 + -15 -4x = -9 + -15 Combine like terms: -9 + -15 = -24 -4x = -24 Divide each side by '-4'. x = 6 Simplifying x = 6
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