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Simplifying (x + 5) + -2(3 + 5) + -5x = 13 + 4(x + -1) Reorder the terms: (5 + x) + -2(3 + 5) + -5x = 13 + 4(x + -1) Remove parenthesis around (5 + x) 5 + x + -2(3 + 5) + -5x = 13 + 4(x + -1) Combine like terms: 3 + 5 = 8 5 + x + -2(8) + -5x = 13 + 4(x + -1) Multiply -2 * 8 5 + x + -16 + -5x = 13 + 4(x + -1) Reorder the terms: 5 + -16 + x + -5x = 13 + 4(x + -1) Combine like terms: 5 + -16 = -11 -11 + x + -5x = 13 + 4(x + -1) Combine like terms: x + -5x = -4x -11 + -4x = 13 + 4(x + -1) Reorder the terms: -11 + -4x = 13 + 4(-1 + x) -11 + -4x = 13 + (-1 * 4 + x * 4) -11 + -4x = 13 + (-4 + 4x) Combine like terms: 13 + -4 = 9 -11 + -4x = 9 + 4x Solving -11 + -4x = 9 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -11 + -4x + -4x = 9 + 4x + -4x Combine like terms: -4x + -4x = -8x -11 + -8x = 9 + 4x + -4x Combine like terms: 4x + -4x = 0 -11 + -8x = 9 + 0 -11 + -8x = 9 Add '11' to each side of the equation. -11 + 11 + -8x = 9 + 11 Combine like terms: -11 + 11 = 0 0 + -8x = 9 + 11 -8x = 9 + 11 Combine like terms: 9 + 11 = 20 -8x = 20 Divide each side by '-8'. x = -2.5 Simplifying x = -2.5
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