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Simplifying (13 + -7 + 4x) + 5(2x + 17 + -1x + -9) = 6x + 13 + -7(x + 4x + -6x) Combine like terms: 13 + -7 = 6 (6 + 4x) + 5(2x + 17 + -1x + -9) = 6x + 13 + -7(x + 4x + -6x) Remove parenthesis around (6 + 4x) 6 + 4x + 5(2x + 17 + -1x + -9) = 6x + 13 + -7(x + 4x + -6x) Reorder the terms: 6 + 4x + 5(17 + -9 + 2x + -1x) = 6x + 13 + -7(x + 4x + -6x) Combine like terms: 17 + -9 = 8 6 + 4x + 5(8 + 2x + -1x) = 6x + 13 + -7(x + 4x + -6x) Combine like terms: 2x + -1x = 1x 6 + 4x + 5(8 + 1x) = 6x + 13 + -7(x + 4x + -6x) 6 + 4x + (8 * 5 + 1x * 5) = 6x + 13 + -7(x + 4x + -6x) 6 + 4x + (40 + 5x) = 6x + 13 + -7(x + 4x + -6x) Reorder the terms: 6 + 40 + 4x + 5x = 6x + 13 + -7(x + 4x + -6x) Combine like terms: 6 + 40 = 46 46 + 4x + 5x = 6x + 13 + -7(x + 4x + -6x) Combine like terms: 4x + 5x = 9x 46 + 9x = 6x + 13 + -7(x + 4x + -6x) Combine like terms: x + 4x = 5x 46 + 9x = 6x + 13 + -7(5x + -6x) Combine like terms: 5x + -6x = -1x 46 + 9x = 6x + 13 + -7(-1x) Remove parenthesis around (-1x) 46 + 9x = 6x + 13 + -7 * -1x Multiply -7 * -1 46 + 9x = 6x + 13 + 7x Reorder the terms: 46 + 9x = 13 + 6x + 7x Combine like terms: 6x + 7x = 13x 46 + 9x = 13 + 13x Solving 46 + 9x = 13 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 46 + 9x + -13x = 13 + 13x + -13x Combine like terms: 9x + -13x = -4x 46 + -4x = 13 + 13x + -13x Combine like terms: 13x + -13x = 0 46 + -4x = 13 + 0 46 + -4x = 13 Add '-46' to each side of the equation. 46 + -46 + -4x = 13 + -46 Combine like terms: 46 + -46 = 0 0 + -4x = 13 + -46 -4x = 13 + -46 Combine like terms: 13 + -46 = -33 -4x = -33 Divide each side by '-4'. x = 8.25 Simplifying x = 8.25
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