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Simplifying (13 + 4x) + -1(9 + 3x) = (9 + 3x) + -1(3 + x) Remove parenthesis around (13 + 4x) 13 + 4x + -1(9 + 3x) = (9 + 3x) + -1(3 + x) 13 + 4x + (9 * -1 + 3x * -1) = (9 + 3x) + -1(3 + x) 13 + 4x + (-9 + -3x) = (9 + 3x) + -1(3 + x) Reorder the terms: 13 + -9 + 4x + -3x = (9 + 3x) + -1(3 + x) Combine like terms: 13 + -9 = 4 4 + 4x + -3x = (9 + 3x) + -1(3 + x) Combine like terms: 4x + -3x = 1x 4 + 1x = (9 + 3x) + -1(3 + x) Remove parenthesis around (9 + 3x) 4 + 1x = 9 + 3x + -1(3 + x) 4 + 1x = 9 + 3x + (3 * -1 + x * -1) 4 + 1x = 9 + 3x + (-3 + -1x) Reorder the terms: 4 + 1x = 9 + -3 + 3x + -1x Combine like terms: 9 + -3 = 6 4 + 1x = 6 + 3x + -1x Combine like terms: 3x + -1x = 2x 4 + 1x = 6 + 2x Solving 4 + 1x = 6 + 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. 4 + 1x + -2x = 6 + 2x + -2x Combine like terms: 1x + -2x = -1x 4 + -1x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 4 + -1x = 6 + 0 4 + -1x = 6 Add '-4' to each side of the equation. 4 + -4 + -1x = 6 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 6 + -4 -1x = 6 + -4 Combine like terms: 6 + -4 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2
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