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Simplifying 5(x + -6) = x + 74 Reorder the terms: 5(-6 + x) = x + 74 (-6 * 5 + x * 5) = x + 74 (-30 + 5x) = x + 74 Reorder the terms: -30 + 5x = 74 + x Solving -30 + 5x = 74 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -30 + 5x + -1x = 74 + x + -1x Combine like terms: 5x + -1x = 4x -30 + 4x = 74 + x + -1x Combine like terms: x + -1x = 0 -30 + 4x = 74 + 0 -30 + 4x = 74 Add '30' to each side of the equation. -30 + 30 + 4x = 74 + 30 Combine like terms: -30 + 30 = 0 0 + 4x = 74 + 30 4x = 74 + 30 Combine like terms: 74 + 30 = 104 4x = 104 Divide each side by '4'. x = 26 Simplifying x = 26
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