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Simplifying 3(x + 5) + -2(3 + x) + -5x = 13 + 4(x + -1) Reorder the terms: 3(5 + x) + -2(3 + x) + -5x = 13 + 4(x + -1) (5 * 3 + x * 3) + -2(3 + x) + -5x = 13 + 4(x + -1) (15 + 3x) + -2(3 + x) + -5x = 13 + 4(x + -1) 15 + 3x + (3 * -2 + x * -2) + -5x = 13 + 4(x + -1) 15 + 3x + (-6 + -2x) + -5x = 13 + 4(x + -1) Reorder the terms: 15 + -6 + 3x + -2x + -5x = 13 + 4(x + -1) Combine like terms: 15 + -6 = 9 9 + 3x + -2x + -5x = 13 + 4(x + -1) Combine like terms: 3x + -2x = 1x 9 + 1x + -5x = 13 + 4(x + -1) Combine like terms: 1x + -5x = -4x 9 + -4x = 13 + 4(x + -1) Reorder the terms: 9 + -4x = 13 + 4(-1 + x) 9 + -4x = 13 + (-1 * 4 + x * 4) 9 + -4x = 13 + (-4 + 4x) Combine like terms: 13 + -4 = 9 9 + -4x = 9 + 4x Add '-9' to each side of the equation. 9 + -9 + -4x = 9 + -9 + 4x Combine like terms: 9 + -9 = 0 0 + -4x = 9 + -9 + 4x -4x = 9 + -9 + 4x Combine like terms: 9 + -9 = 0 -4x = 0 + 4x -4x = 4x Solving -4x = 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. -4x + -4x = 4x + -4x Combine like terms: -4x + -4x = -8x -8x = 4x + -4x Combine like terms: 4x + -4x = 0 -8x = 0 Divide each side by '-8'. x = 0 Simplifying x = 0
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