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Simplifying 35 = 3(x + -7) + 5x Reorder the terms: 35 = 3(-7 + x) + 5x 35 = (-7 * 3 + x * 3) + 5x 35 = (-21 + 3x) + 5x Combine like terms: 3x + 5x = 8x 35 = -21 + 8x Solving 35 = -21 + 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 + -8x = -21 + 8x + -8x Combine like terms: 8x + -8x = 0 35 + -8x = -21 + 0 35 + -8x = -21 Add '-35' to each side of the equation. 35 + -35 + -8x = -21 + -35 Combine like terms: 35 + -35 = 0 0 + -8x = -21 + -35 -8x = -21 + -35 Combine like terms: -21 + -35 = -56 -8x = -56 Divide each side by '-8'. x = 7 Simplifying x = 7
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