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Simplifying 6x + 38 = -4(x + 3) Reorder the terms: 38 + 6x = -4(x + 3) Reorder the terms: 38 + 6x = -4(3 + x) 38 + 6x = (3 * -4 + x * -4) 38 + 6x = (-12 + -4x) Solving 38 + 6x = -12 + -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. 38 + 6x + 4x = -12 + -4x + 4x Combine like terms: 6x + 4x = 10x 38 + 10x = -12 + -4x + 4x Combine like terms: -4x + 4x = 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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