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Simplifying 5x + 8x + -3 = -4x + 20 + 15x + -7 Reorder the terms: -3 + 5x + 8x = -4x + 20 + 15x + -7 Combine like terms: 5x + 8x = 13x -3 + 13x = -4x + 20 + 15x + -7 Reorder the terms: -3 + 13x = 20 + -7 + -4x + 15x Combine like terms: 20 + -7 = 13 -3 + 13x = 13 + -4x + 15x Combine like terms: -4x + 15x = 11x -3 + 13x = 13 + 11x Solving -3 + 13x = 13 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -3 + 13x + -11x = 13 + 11x + -11x Combine like terms: 13x + -11x = 2x -3 + 2x = 13 + 11x + -11x Combine like terms: 11x + -11x = 0 -3 + 2x = 13 + 0 -3 + 2x = 13 Add '3' to each side of the equation. -3 + 3 + 2x = 13 + 3 Combine like terms: -3 + 3 = 0 0 + 2x = 13 + 3 2x = 13 + 3 Combine like terms: 13 + 3 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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