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Simplifying -5(1 + 4) + 1 = x + 38 Combine like terms: 1 + 4 = 5 -5(5) + 1 = x + 38 Multiply -5 * 5 -25 + 1 = x + 38 Combine like terms: -25 + 1 = -24 -24 = x + 38 Reorder the terms: -24 = 38 + x Solving -24 = 38 + 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. -24 + -1x = 38 + x + -1x Combine like terms: x + -1x = 0 -24 + -1x = 38 + 0 -24 + -1x = 38 Add '24' to each side of the equation. -24 + 24 + -1x = 38 + 24 Combine like terms: -24 + 24 = 0 0 + -1x = 38 + 24 -1x = 38 + 24 Combine like terms: 38 + 24 = 62 -1x = 62 Divide each side by '-1'. x = -62 Simplifying x = -62
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