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Simplifying 10x + 29(x + -4) = 118 Reorder the terms: 10x + 29(-4 + x) = 118 10x + (-4 * 29 + x * 29) = 118 10x + (-116 + 29x) = 118 Reorder the terms: -116 + 10x + 29x = 118 Combine like terms: 10x + 29x = 39x -116 + 39x = 118 Solving -116 + 39x = 118 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '116' to each side of the equation. -116 + 116 + 39x = 118 + 116 Combine like terms: -116 + 116 = 0 0 + 39x = 118 + 116 39x = 118 + 116 Combine like terms: 118 + 116 = 234 39x = 234 Divide each side by '39'. x = 6 Simplifying x = 6
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