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Simplifying 38 + -1x = 21 + 3[2x + 1] Reorder the terms: 38 + -1x = 21 + 3[1 + 2x] 38 + -1x = 21 + [1 * 3 + 2x * 3] 38 + -1x = 21 + [3 + 6x] Combine like terms: 21 + 3 = 24 38 + -1x = 24 + 6x Solving 38 + -1x = 24 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 38 + -1x + -6x = 24 + 6x + -6x Combine like terms: -1x + -6x = -7x 38 + -7x = 24 + 6x + -6x Combine like terms: 6x + -6x = 0 38 + -7x = 24 + 0 38 + -7x = 24 Add '-38' to each side of the equation. 38 + -38 + -7x = 24 + -38 Combine like terms: 38 + -38 = 0 0 + -7x = 24 + -38 -7x = 24 + -38 Combine like terms: 24 + -38 = -14 -7x = -14 Divide each side by '-7'. x = 2 Simplifying x = 2
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