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Simplifying 4(4x + -7) + -5 = 4(x + -4) + 67 Reorder the terms: 4(-7 + 4x) + -5 = 4(x + -4) + 67 (-7 * 4 + 4x * 4) + -5 = 4(x + -4) + 67 (-28 + 16x) + -5 = 4(x + -4) + 67 Reorder the terms: -28 + -5 + 16x = 4(x + -4) + 67 Combine like terms: -28 + -5 = -33 -33 + 16x = 4(x + -4) + 67 Reorder the terms: -33 + 16x = 4(-4 + x) + 67 -33 + 16x = (-4 * 4 + x * 4) + 67 -33 + 16x = (-16 + 4x) + 67 Reorder the terms: -33 + 16x = -16 + 67 + 4x Combine like terms: -16 + 67 = 51 -33 + 16x = 51 + 4x Solving -33 + 16x = 51 + 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. -33 + 16x + -4x = 51 + 4x + -4x Combine like terms: 16x + -4x = 12x -33 + 12x = 51 + 4x + -4x Combine like terms: 4x + -4x = 0 -33 + 12x = 51 + 0 -33 + 12x = 51 Add '33' to each side of the equation. -33 + 33 + 12x = 51 + 33 Combine like terms: -33 + 33 = 0 0 + 12x = 51 + 33 12x = 51 + 33 Combine like terms: 51 + 33 = 84 12x = 84 Divide each side by '12'. x = 7 Simplifying x = 7
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