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Simplifying 2x + 42 = 9x + -16 Reorder the terms: 42 + 2x = 9x + -16 Reorder the terms: 42 + 2x = -16 + 9x Solving 42 + 2x = -16 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 42 + 2x + -9x = -16 + 9x + -9x Combine like terms: 2x + -9x = -7x 42 + -7x = -16 + 9x + -9x Combine like terms: 9x + -9x = 0 42 + -7x = -16 + 0 42 + -7x = -16 Add '-42' to each side of the equation. 42 + -42 + -7x = -16 + -42 Combine like terms: 42 + -42 = 0 0 + -7x = -16 + -42 -7x = -16 + -42 Combine like terms: -16 + -42 = -58 -7x = -58 Divide each side by '-7'. x = 8.285714286 Simplifying x = 8.285714286
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