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Simplifying 8x + 38 = -3(-6 + -4x) Reorder the terms: 38 + 8x = -3(-6 + -4x) 38 + 8x = (-6 * -3 + -4x * -3) 38 + 8x = (18 + 12x) Solving 38 + 8x = 18 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 38 + 8x + -12x = 18 + 12x + -12x Combine like terms: 8x + -12x = -4x 38 + -4x = 18 + 12x + -12x Combine like terms: 12x + -12x = 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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