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Simplifying 7x + 38 = 16x + -42 Reorder the terms: 38 + 7x = 16x + -42 Reorder the terms: 38 + 7x = -42 + 16x Solving 38 + 7x = -42 + 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 + 7x + -16x = -42 + 16x + -16x Combine like terms: 7x + -16x = -9x 38 + -9x = -42 + 16x + -16x Combine like terms: 16x + -16x = 0 38 + -9x = -42 + 0 38 + -9x = -42 Add '-38' to each side of the equation. 38 + -38 + -9x = -42 + -38 Combine like terms: 38 + -38 = 0 0 + -9x = -42 + -38 -9x = -42 + -38 Combine like terms: -42 + -38 = -80 -9x = -80 Divide each side by '-9'. x = 8.888888889 Simplifying x = 8.888888889
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