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Simplifying 5x + 38 = 2(8x + -1) + -4 Reorder the terms: 38 + 5x = 2(8x + -1) + -4 Reorder the terms: 38 + 5x = 2(-1 + 8x) + -4 38 + 5x = (-1 * 2 + 8x * 2) + -4 38 + 5x = (-2 + 16x) + -4 Reorder the terms: 38 + 5x = -2 + -4 + 16x Combine like terms: -2 + -4 = -6 38 + 5x = -6 + 16x Solving 38 + 5x = -6 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 38 + 5x + -16x = -6 + 16x + -16x Combine like terms: 5x + -16x = -11x 38 + -11x = -6 + 16x + -16x Combine like terms: 16x + -16x = 0 38 + -11x = -6 + 0 38 + -11x = -6 Add '-38' to each side of the equation. 38 + -38 + -11x = -6 + -38 Combine like terms: 38 + -38 = 0 0 + -11x = -6 + -38 -11x = -6 + -38 Combine like terms: -6 + -38 = -44 -11x = -44 Divide each side by '-11'. x = 4 Simplifying x = 4
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