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Simplifying 38 + 7x = -3(x + 4) Reorder the terms: 38 + 7x = -3(4 + x) 38 + 7x = (4 * -3 + x * -3) 38 + 7x = (-12 + -3x) Solving 38 + 7x = -12 + -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 = -12 + -3x + 3x Combine like terms: 7x + 3x = 10x 38 + 10x = -12 + -3x + 3x Combine like terms: -3x + 3x = 0 38 + 10x = -12 + 0 38 + 10x = -12 Add '-38' to each side of the equation. 38 + -38 + 10x = -12 + -38 Combine like terms: 38 + -38 = 0 0 + 10x = -12 + -38 10x = -12 + -38 Combine like terms: -12 + -38 = -50 10x = -50 Divide each side by '10'. x = -5 Simplifying x = -5
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