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Simplifying 38 + -1x = 3(x + 6) Reorder the terms: 38 + -1x = 3(6 + x) 38 + -1x = (6 * 3 + x * 3) 38 + -1x = (18 + 3x) Solving 38 + -1x = 18 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 38 + -1x + -3x = 18 + 3x + -3x Combine like terms: -1x + -3x = -4x 38 + -4x = 18 + 3x + -3x Combine like terms: 3x + -3x = 0 38 + -4x = 18 + 0 38 + -4x = 18 Add '-38' to each side of the equation. 38 + -38 + -4x = 18 + -38 Combine like terms: 38 + -38 = 0 0 + -4x = 18 + -38 -4x = 18 + -38 Combine like terms: 18 + -38 = -20 -4x = -20 Divide each side by '-4'. x = 5 Simplifying x = 5
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