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Simplifying (5 + -3x) + -1(4x + 3) = (8x + 13) + -1(3x + -8) Remove parenthesis around (5 + -3x) 5 + -3x + -1(4x + 3) = (8x + 13) + -1(3x + -8) Reorder the terms: 5 + -3x + -1(3 + 4x) = (8x + 13) + -1(3x + -8) 5 + -3x + (3 * -1 + 4x * -1) = (8x + 13) + -1(3x + -8) 5 + -3x + (-3 + -4x) = (8x + 13) + -1(3x + -8) Reorder the terms: 5 + -3 + -3x + -4x = (8x + 13) + -1(3x + -8) Combine like terms: 5 + -3 = 2 2 + -3x + -4x = (8x + 13) + -1(3x + -8) Combine like terms: -3x + -4x = -7x 2 + -7x = (8x + 13) + -1(3x + -8) Reorder the terms: 2 + -7x = (13 + 8x) + -1(3x + -8) Remove parenthesis around (13 + 8x) 2 + -7x = 13 + 8x + -1(3x + -8) Reorder the terms: 2 + -7x = 13 + 8x + -1(-8 + 3x) 2 + -7x = 13 + 8x + (-8 * -1 + 3x * -1) 2 + -7x = 13 + 8x + (8 + -3x) Reorder the terms: 2 + -7x = 13 + 8 + 8x + -3x Combine like terms: 13 + 8 = 21 2 + -7x = 21 + 8x + -3x Combine like terms: 8x + -3x = 5x 2 + -7x = 21 + 5x Solving 2 + -7x = 21 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 2 + -7x + -5x = 21 + 5x + -5x Combine like terms: -7x + -5x = -12x 2 + -12x = 21 + 5x + -5x Combine like terms: 5x + -5x = 0 2 + -12x = 21 + 0 2 + -12x = 21 Add '-2' to each side of the equation. 2 + -2 + -12x = 21 + -2 Combine like terms: 2 + -2 = 0 0 + -12x = 21 + -2 -12x = 21 + -2 Combine like terms: 21 + -2 = 19 -12x = 19 Divide each side by '-12'. x = -1.583333333 Simplifying x = -1.583333333
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