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Simplifying -38 = -6x + 4(4x + 3) Reorder the terms: -38 = -6x + 4(3 + 4x) -38 = -6x + (3 * 4 + 4x * 4) -38 = -6x + (12 + 16x) Reorder the terms: -38 = 12 + -6x + 16x Combine like terms: -6x + 16x = 10x -38 = 12 + 10x Solving -38 = 12 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -38 + -10x = 12 + 10x + -10x Combine like terms: 10x + -10x = 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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