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Simplifying -2x + -3 + 8x + -18 + 5x = 15 + -20 + -2x + -3 Reorder the terms: -3 + -18 + -2x + 8x + 5x = 15 + -20 + -2x + -3 Combine like terms: -3 + -18 = -21 -21 + -2x + 8x + 5x = 15 + -20 + -2x + -3 Combine like terms: -2x + 8x = 6x -21 + 6x + 5x = 15 + -20 + -2x + -3 Combine like terms: 6x + 5x = 11x -21 + 11x = 15 + -20 + -2x + -3 Reorder the terms: -21 + 11x = 15 + -20 + -3 + -2x Combine like terms: 15 + -20 = -5 -21 + 11x = -5 + -3 + -2x Combine like terms: -5 + -3 = -8 -21 + 11x = -8 + -2x Solving -21 + 11x = -8 + -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. -21 + 11x + 2x = -8 + -2x + 2x Combine like terms: 11x + 2x = 13x -21 + 13x = -8 + -2x + 2x Combine like terms: -2x + 2x = 0 -21 + 13x = -8 + 0 -21 + 13x = -8 Add '21' to each side of the equation. -21 + 21 + 13x = -8 + 21 Combine like terms: -21 + 21 = 0 0 + 13x = -8 + 21 13x = -8 + 21 Combine like terms: -8 + 21 = 13 13x = 13 Divide each side by '13'. x = 1 Simplifying x = 1
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