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Simplifying 38 + -14 = 4(x + -1) Combine like terms: 38 + -14 = 24 24 = 4(x + -1) Reorder the terms: 24 = 4(-1 + x) 24 = (-1 * 4 + x * 4) 24 = (-4 + 4x) Solving 24 = -4 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 24 + -4x = -4 + 4x + -4x Combine like terms: 4x + -4x = 0 24 + -4x = -4 + 0 24 + -4x = -4 Add '-24' to each side of the equation. 24 + -24 + -4x = -4 + -24 Combine like terms: 24 + -24 = 0 0 + -4x = -4 + -24 -4x = -4 + -24 Combine like terms: -4 + -24 = -28 -4x = -28 Divide each side by '-4'. x = 7 Simplifying x = 7
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