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Simplifying 4(4x + -7) + -6 = 4(x + -4) + 66 Reorder the terms: 4(-7 + 4x) + -6 = 4(x + -4) + 66 (-7 * 4 + 4x * 4) + -6 = 4(x + -4) + 66 (-28 + 16x) + -6 = 4(x + -4) + 66 Reorder the terms: -28 + -6 + 16x = 4(x + -4) + 66 Combine like terms: -28 + -6 = -34 -34 + 16x = 4(x + -4) + 66 Reorder the terms: -34 + 16x = 4(-4 + x) + 66 -34 + 16x = (-4 * 4 + x * 4) + 66 -34 + 16x = (-16 + 4x) + 66 Reorder the terms: -34 + 16x = -16 + 66 + 4x Combine like terms: -16 + 66 = 50 -34 + 16x = 50 + 4x Solving -34 + 16x = 50 + 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. -34 + 16x + -4x = 50 + 4x + -4x Combine like terms: 16x + -4x = 12x -34 + 12x = 50 + 4x + -4x Combine like terms: 4x + -4x = 0 -34 + 12x = 50 + 0 -34 + 12x = 50 Add '34' to each side of the equation. -34 + 34 + 12x = 50 + 34 Combine like terms: -34 + 34 = 0 0 + 12x = 50 + 34 12x = 50 + 34 Combine like terms: 50 + 34 = 84 12x = 84 Divide each side by '12'. x = 7 Simplifying x = 7
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