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Simplifying 3x + 35 = 9x + -1(x + 1) Reorder the terms: 35 + 3x = 9x + -1(x + 1) Reorder the terms: 35 + 3x = 9x + -1(1 + x) 35 + 3x = 9x + (1 * -1 + x * -1) 35 + 3x = 9x + (-1 + -1x) Reorder the terms: 35 + 3x = -1 + 9x + -1x Combine like terms: 9x + -1x = 8x 35 + 3x = -1 + 8x Solving 35 + 3x = -1 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 35 + 3x + -8x = -1 + 8x + -8x Combine like terms: 3x + -8x = -5x 35 + -5x = -1 + 8x + -8x Combine like terms: 8x + -8x = 0 35 + -5x = -1 + 0 35 + -5x = -1 Add '-35' to each side of the equation. 35 + -35 + -5x = -1 + -35 Combine like terms: 35 + -35 = 0 0 + -5x = -1 + -35 -5x = -1 + -35 Combine like terms: -1 + -35 = -36 -5x = -36 Divide each side by '-5'. x = 7.2 Simplifying x = 7.2
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