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Simplifying -34 = -4(x + -4) + 5(4x + 6) Reorder the terms: -34 = -4(-4 + x) + 5(4x + 6) -34 = (-4 * -4 + x * -4) + 5(4x + 6) -34 = (16 + -4x) + 5(4x + 6) Reorder the terms: -34 = 16 + -4x + 5(6 + 4x) -34 = 16 + -4x + (6 * 5 + 4x * 5) -34 = 16 + -4x + (30 + 20x) Reorder the terms: -34 = 16 + 30 + -4x + 20x Combine like terms: 16 + 30 = 46 -34 = 46 + -4x + 20x Combine like terms: -4x + 20x = 16x -34 = 46 + 16x Solving -34 = 46 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -34 + -16x = 46 + 16x + -16x Combine like terms: 16x + -16x = 0 -34 + -16x = 46 + 0 -34 + -16x = 46 Add '34' to each side of the equation. -34 + 34 + -16x = 46 + 34 Combine like terms: -34 + 34 = 0 0 + -16x = 46 + 34 -16x = 46 + 34 Combine like terms: 46 + 34 = 80 -16x = 80 Divide each side by '-16'. x = -5 Simplifying x = -5
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