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Simplifying 3x + -10 = 5x + 2(4x + 5) Reorder the terms: -10 + 3x = 5x + 2(4x + 5) Reorder the terms: -10 + 3x = 5x + 2(5 + 4x) -10 + 3x = 5x + (5 * 2 + 4x * 2) -10 + 3x = 5x + (10 + 8x) Reorder the terms: -10 + 3x = 10 + 5x + 8x Combine like terms: 5x + 8x = 13x -10 + 3x = 10 + 13x Solving -10 + 3x = 10 + 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. -10 + 3x + -13x = 10 + 13x + -13x Combine like terms: 3x + -13x = -10x -10 + -10x = 10 + 13x + -13x Combine like terms: 13x + -13x = 0 -10 + -10x = 10 + 0 -10 + -10x = 10 Add '10' to each side of the equation. -10 + 10 + -10x = 10 + 10 Combine like terms: -10 + 10 = 0 0 + -10x = 10 + 10 -10x = 10 + 10 Combine like terms: 10 + 10 = 20 -10x = 20 Divide each side by '-10'. x = -2 Simplifying x = -2
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