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Simplifying 38 + 5x = 7(2x + -1) Reorder the terms: 38 + 5x = 7(-1 + 2x) 38 + 5x = (-1 * 7 + 2x * 7) 38 + 5x = (-7 + 14x) Solving 38 + 5x = -7 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 38 + 5x + -14x = -7 + 14x + -14x Combine like terms: 5x + -14x = -9x 38 + -9x = -7 + 14x + -14x Combine like terms: 14x + -14x = 0 38 + -9x = -7 + 0 38 + -9x = -7 Add '-38' to each side of the equation. 38 + -38 + -9x = -7 + -38 Combine like terms: 38 + -38 = 0 0 + -9x = -7 + -38 -9x = -7 + -38 Combine like terms: -7 + -38 = -45 -9x = -45 Divide each side by '-9'. x = 5 Simplifying x = 5
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