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Simplifying 35 + 2(x + -7) = 5x + -24 Reorder the terms: 35 + 2(-7 + x) = 5x + -24 35 + (-7 * 2 + x * 2) = 5x + -24 35 + (-14 + 2x) = 5x + -24 Combine like terms: 35 + -14 = 21 21 + 2x = 5x + -24 Reorder the terms: 21 + 2x = -24 + 5x Solving 21 + 2x = -24 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 21 + 2x + -5x = -24 + 5x + -5x Combine like terms: 2x + -5x = -3x 21 + -3x = -24 + 5x + -5x Combine like terms: 5x + -5x = 0 21 + -3x = -24 + 0 21 + -3x = -24 Add '-21' to each side of the equation. 21 + -21 + -3x = -24 + -21 Combine like terms: 21 + -21 = 0 0 + -3x = -24 + -21 -3x = -24 + -21 Combine like terms: -24 + -21 = -45 -3x = -45 Divide each side by '-3'. x = 15 Simplifying x = 15
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