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Simplifying -3x + 7(x + 5) = 5x + 38 Reorder the terms: -3x + 7(5 + x) = 5x + 38 -3x + (5 * 7 + x * 7) = 5x + 38 -3x + (35 + 7x) = 5x + 38 Reorder the terms: 35 + -3x + 7x = 5x + 38 Combine like terms: -3x + 7x = 4x 35 + 4x = 5x + 38 Reorder the terms: 35 + 4x = 38 + 5x Solving 35 + 4x = 38 + 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. 35 + 4x + -5x = 38 + 5x + -5x Combine like terms: 4x + -5x = -1x 35 + -1x = 38 + 5x + -5x Combine like terms: 5x + -5x = 0 35 + -1x = 38 + 0 35 + -1x = 38 Add '-35' to each side of the equation. 35 + -35 + -1x = 38 + -35 Combine like terms: 35 + -35 = 0 0 + -1x = 38 + -35 -1x = 38 + -35 Combine like terms: 38 + -35 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3
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