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Simplifying 38 + 7x = 8 + -1(3x + 4) + 6x + 14 Reorder the terms: 38 + 7x = 8 + -1(4 + 3x) + 6x + 14 38 + 7x = 8 + (4 * -1 + 3x * -1) + 6x + 14 38 + 7x = 8 + (-4 + -3x) + 6x + 14 Reorder the terms: 38 + 7x = 8 + -4 + 14 + -3x + 6x Combine like terms: 8 + -4 = 4 38 + 7x = 4 + 14 + -3x + 6x Combine like terms: 4 + 14 = 18 38 + 7x = 18 + -3x + 6x Combine like terms: -3x + 6x = 3x 38 + 7x = 18 + 3x Solving 38 + 7x = 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 + 7x + -3x = 18 + 3x + -3x Combine like terms: 7x + -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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