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Simplifying -38 = 4(3x + 4) + -6 Reorder the terms: -38 = 4(4 + 3x) + -6 -38 = (4 * 4 + 3x * 4) + -6 -38 = (16 + 12x) + -6 Reorder the terms: -38 = 16 + -6 + 12x Combine like terms: 16 + -6 = 10 -38 = 10 + 12x Solving -38 = 10 + 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 + -12x = 10 + 12x + -12x Combine like terms: 12x + -12x = 0 -38 + -12x = 10 + 0 -38 + -12x = 10 Add '38' to each side of the equation. -38 + 38 + -12x = 10 + 38 Combine like terms: -38 + 38 = 0 0 + -12x = 10 + 38 -12x = 10 + 38 Combine like terms: 10 + 38 = 48 -12x = 48 Divide each side by '-12'. x = -4 Simplifying x = -4
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