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Simplifying 13(x + 1) + -2(3x + 6) = 2x + -49 Reorder the terms: 13(1 + x) + -2(3x + 6) = 2x + -49 (1 * 13 + x * 13) + -2(3x + 6) = 2x + -49 (13 + 13x) + -2(3x + 6) = 2x + -49 Reorder the terms: 13 + 13x + -2(6 + 3x) = 2x + -49 13 + 13x + (6 * -2 + 3x * -2) = 2x + -49 13 + 13x + (-12 + -6x) = 2x + -49 Reorder the terms: 13 + -12 + 13x + -6x = 2x + -49 Combine like terms: 13 + -12 = 1 1 + 13x + -6x = 2x + -49 Combine like terms: 13x + -6x = 7x 1 + 7x = 2x + -49 Reorder the terms: 1 + 7x = -49 + 2x Solving 1 + 7x = -49 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 1 + 7x + -2x = -49 + 2x + -2x Combine like terms: 7x + -2x = 5x 1 + 5x = -49 + 2x + -2x Combine like terms: 2x + -2x = 0 1 + 5x = -49 + 0 1 + 5x = -49 Add '-1' to each side of the equation. 1 + -1 + 5x = -49 + -1 Combine like terms: 1 + -1 = 0 0 + 5x = -49 + -1 5x = -49 + -1 Combine like terms: -49 + -1 = -50 5x = -50 Divide each side by '5'. x = -10 Simplifying x = -10
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