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Simplifying 2(x + 63) = 8x + -42 Reorder the terms: 2(63 + x) = 8x + -42 (63 * 2 + x * 2) = 8x + -42 (126 + 2x) = 8x + -42 Reorder the terms: 126 + 2x = -42 + 8x Solving 126 + 2x = -42 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 126 + 2x + -8x = -42 + 8x + -8x Combine like terms: 2x + -8x = -6x 126 + -6x = -42 + 8x + -8x Combine like terms: 8x + -8x = 0 126 + -6x = -42 + 0 126 + -6x = -42 Add '-126' to each side of the equation. 126 + -126 + -6x = -42 + -126 Combine like terms: 126 + -126 = 0 0 + -6x = -42 + -126 -6x = -42 + -126 Combine like terms: -42 + -126 = -168 -6x = -168 Divide each side by '-6'. x = 28 Simplifying x = 28
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