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Simplifying 13x + 2 + -1(x + -13) = x + -5 + -3(x + 12) + 4x Reorder the terms: 13x + 2 + -1(-13 + x) = x + -5 + -3(x + 12) + 4x 13x + 2 + (-13 * -1 + x * -1) = x + -5 + -3(x + 12) + 4x 13x + 2 + (13 + -1x) = x + -5 + -3(x + 12) + 4x Reorder the terms: 2 + 13 + 13x + -1x = x + -5 + -3(x + 12) + 4x Combine like terms: 2 + 13 = 15 15 + 13x + -1x = x + -5 + -3(x + 12) + 4x Combine like terms: 13x + -1x = 12x 15 + 12x = x + -5 + -3(x + 12) + 4x Reorder the terms: 15 + 12x = x + -5 + -3(12 + x) + 4x 15 + 12x = x + -5 + (12 * -3 + x * -3) + 4x 15 + 12x = x + -5 + (-36 + -3x) + 4x Reorder the terms: 15 + 12x = -5 + -36 + x + -3x + 4x Combine like terms: -5 + -36 = -41 15 + 12x = -41 + x + -3x + 4x Combine like terms: x + -3x = -2x 15 + 12x = -41 + -2x + 4x Combine like terms: -2x + 4x = 2x 15 + 12x = -41 + 2x Solving 15 + 12x = -41 + 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. 15 + 12x + -2x = -41 + 2x + -2x Combine like terms: 12x + -2x = 10x 15 + 10x = -41 + 2x + -2x Combine like terms: 2x + -2x = 0 15 + 10x = -41 + 0 15 + 10x = -41 Add '-15' to each side of the equation. 15 + -15 + 10x = -41 + -15 Combine like terms: 15 + -15 = 0 0 + 10x = -41 + -15 10x = -41 + -15 Combine like terms: -41 + -15 = -56 10x = -56 Divide each side by '10'. x = -5.6 Simplifying x = -5.6
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