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Simplifying 5 + 3x + -35 = 2x + 15 + -8x Reorder the terms: 5 + -35 + 3x = 2x + 15 + -8x Combine like terms: 5 + -35 = -30 -30 + 3x = 2x + 15 + -8x Reorder the terms: -30 + 3x = 15 + 2x + -8x Combine like terms: 2x + -8x = -6x -30 + 3x = 15 + -6x Solving -30 + 3x = 15 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -30 + 3x + 6x = 15 + -6x + 6x Combine like terms: 3x + 6x = 9x -30 + 9x = 15 + -6x + 6x Combine like terms: -6x + 6x = 0 -30 + 9x = 15 + 0 -30 + 9x = 15 Add '30' to each side of the equation. -30 + 30 + 9x = 15 + 30 Combine like terms: -30 + 30 = 0 0 + 9x = 15 + 30 9x = 15 + 30 Combine like terms: 15 + 30 = 45 9x = 45 Divide each side by '9'. x = 5 Simplifying x = 5
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