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Simplifying -38 = -4x + 5(4x + 18) Reorder the terms: -38 = -4x + 5(18 + 4x) -38 = -4x + (18 * 5 + 4x * 5) -38 = -4x + (90 + 20x) Reorder the terms: -38 = 90 + -4x + 20x Combine like terms: -4x + 20x = 16x -38 = 90 + 16x Solving -38 = 90 + 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 + -16x = 90 + 16x + -16x Combine like terms: 16x + -16x = 0 -38 + -16x = 90 + 0 -38 + -16x = 90 Add '38' to each side of the equation. -38 + 38 + -16x = 90 + 38 Combine like terms: -38 + 38 = 0 0 + -16x = 90 + 38 -16x = 90 + 38 Combine like terms: 90 + 38 = 128 -16x = 128 Divide each side by '-16'. x = -8 Simplifying x = -8
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