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Simplifying 2(x + 49) = 8x + 9 + -5x Reorder the terms: 2(49 + x) = 8x + 9 + -5x (49 * 2 + x * 2) = 8x + 9 + -5x (98 + 2x) = 8x + 9 + -5x Reorder the terms: 98 + 2x = 9 + 8x + -5x Combine like terms: 8x + -5x = 3x 98 + 2x = 9 + 3x Solving 98 + 2x = 9 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 98 + 2x + -3x = 9 + 3x + -3x Combine like terms: 2x + -3x = -1x 98 + -1x = 9 + 3x + -3x Combine like terms: 3x + -3x = 0 98 + -1x = 9 + 0 98 + -1x = 9 Add '-98' to each side of the equation. 98 + -98 + -1x = 9 + -98 Combine like terms: 98 + -98 = 0 0 + -1x = 9 + -98 -1x = 9 + -98 Combine like terms: 9 + -98 = -89 -1x = -89 Divide each side by '-1'. x = 89 Simplifying x = 89
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