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Simplifying 38 + 6x = 5(x + 7) Reorder the terms: 38 + 6x = 5(7 + x) 38 + 6x = (7 * 5 + x * 5) 38 + 6x = (35 + 5x) Solving 38 + 6x = 35 + 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. 38 + 6x + -5x = 35 + 5x + -5x Combine like terms: 6x + -5x = 1x 38 + 1x = 35 + 5x + -5x Combine like terms: 5x + -5x = 0 38 + 1x = 35 + 0 38 + 1x = 35 Add '-38' to each side of the equation. 38 + -38 + 1x = 35 + -38 Combine like terms: 38 + -38 = 0 0 + 1x = 35 + -38 1x = 35 + -38 Combine like terms: 35 + -38 = -3 1x = -3 Divide each side by '1'. x = -3 Simplifying x = -3
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