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Simplifying 5x + -38 = -2(1 + -7x) Reorder the terms: -38 + 5x = -2(1 + -7x) -38 + 5x = (1 * -2 + -7x * -2) -38 + 5x = (-2 + 14x) Solving -38 + 5x = -2 + 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 = -2 + 14x + -14x Combine like terms: 5x + -14x = -9x -38 + -9x = -2 + 14x + -14x Combine like terms: 14x + -14x = 0 -38 + -9x = -2 + 0 -38 + -9x = -2 Add '38' to each side of the equation. -38 + 38 + -9x = -2 + 38 Combine like terms: -38 + 38 = 0 0 + -9x = -2 + 38 -9x = -2 + 38 Combine like terms: -2 + 38 = 36 -9x = 36 Divide each side by '-9'. x = -4 Simplifying x = -4
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