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Simplifying 29(x + 4) = 5(6x + -2) Reorder the terms: 29(4 + x) = 5(6x + -2) (4 * 29 + x * 29) = 5(6x + -2) (116 + 29x) = 5(6x + -2) Reorder the terms: 116 + 29x = 5(-2 + 6x) 116 + 29x = (-2 * 5 + 6x * 5) 116 + 29x = (-10 + 30x) Solving 116 + 29x = -10 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 116 + 29x + -30x = -10 + 30x + -30x Combine like terms: 29x + -30x = -1x 116 + -1x = -10 + 30x + -30x Combine like terms: 30x + -30x = 0 116 + -1x = -10 + 0 116 + -1x = -10 Add '-116' to each side of the equation. 116 + -116 + -1x = -10 + -116 Combine like terms: 116 + -116 = 0 0 + -1x = -10 + -116 -1x = -10 + -116 Combine like terms: -10 + -116 = -126 -1x = -126 Divide each side by '-1'. x = 126 Simplifying x = 126
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