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Simplifying 7x + 38 = -2x + 5(4x + 1) Reorder the terms: 38 + 7x = -2x + 5(4x + 1) Reorder the terms: 38 + 7x = -2x + 5(1 + 4x) 38 + 7x = -2x + (1 * 5 + 4x * 5) 38 + 7x = -2x + (5 + 20x) Reorder the terms: 38 + 7x = 5 + -2x + 20x Combine like terms: -2x + 20x = 18x 38 + 7x = 5 + 18x Solving 38 + 7x = 5 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 38 + 7x + -18x = 5 + 18x + -18x Combine like terms: 7x + -18x = -11x 38 + -11x = 5 + 18x + -18x Combine like terms: 18x + -18x = 0 38 + -11x = 5 + 0 38 + -11x = 5 Add '-38' to each side of the equation. 38 + -38 + -11x = 5 + -38 Combine like terms: 38 + -38 = 0 0 + -11x = 5 + -38 -11x = 5 + -38 Combine like terms: 5 + -38 = -33 -11x = -33 Divide each side by '-11'. x = 3 Simplifying x = 3
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