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Simplifying 8x + 2x + -1 = 3x + 2(10 + 5x) Reorder the terms: -1 + 8x + 2x = 3x + 2(10 + 5x) Combine like terms: 8x + 2x = 10x -1 + 10x = 3x + 2(10 + 5x) -1 + 10x = 3x + (10 * 2 + 5x * 2) -1 + 10x = 3x + (20 + 10x) Reorder the terms: -1 + 10x = 20 + 3x + 10x Combine like terms: 3x + 10x = 13x -1 + 10x = 20 + 13x Solving -1 + 10x = 20 + 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. -1 + 10x + -13x = 20 + 13x + -13x Combine like terms: 10x + -13x = -3x -1 + -3x = 20 + 13x + -13x Combine like terms: 13x + -13x = 0 -1 + -3x = 20 + 0 -1 + -3x = 20 Add '1' to each side of the equation. -1 + 1 + -3x = 20 + 1 Combine like terms: -1 + 1 = 0 0 + -3x = 20 + 1 -3x = 20 + 1 Combine like terms: 20 + 1 = 21 -3x = 21 Divide each side by '-3'. x = -7 Simplifying x = -7
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