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Simplifying 19 + -1(13x + 4) = (12 + -3x) + -1(5x + 2) Reorder the terms: 19 + -1(4 + 13x) = (12 + -3x) + -1(5x + 2) 19 + (4 * -1 + 13x * -1) = (12 + -3x) + -1(5x + 2) 19 + (-4 + -13x) = (12 + -3x) + -1(5x + 2) Combine like terms: 19 + -4 = 15 15 + -13x = (12 + -3x) + -1(5x + 2) Remove parenthesis around (12 + -3x) 15 + -13x = 12 + -3x + -1(5x + 2) Reorder the terms: 15 + -13x = 12 + -3x + -1(2 + 5x) 15 + -13x = 12 + -3x + (2 * -1 + 5x * -1) 15 + -13x = 12 + -3x + (-2 + -5x) Reorder the terms: 15 + -13x = 12 + -2 + -3x + -5x Combine like terms: 12 + -2 = 10 15 + -13x = 10 + -3x + -5x Combine like terms: -3x + -5x = -8x 15 + -13x = 10 + -8x Solving 15 + -13x = 10 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 15 + -13x + 8x = 10 + -8x + 8x Combine like terms: -13x + 8x = -5x 15 + -5x = 10 + -8x + 8x Combine like terms: -8x + 8x = 0 15 + -5x = 10 + 0 15 + -5x = 10 Add '-15' to each side of the equation. 15 + -15 + -5x = 10 + -15 Combine like terms: 15 + -15 = 0 0 + -5x = 10 + -15 -5x = 10 + -15 Combine like terms: 10 + -15 = -5 -5x = -5 Divide each side by '-5'. x = 1 Simplifying x = 1
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