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Simplifying 4(4x + -7) + -5 = 4(x + -2) + 47 Reorder the terms: 4(-7 + 4x) + -5 = 4(x + -2) + 47 (-7 * 4 + 4x * 4) + -5 = 4(x + -2) + 47 (-28 + 16x) + -5 = 4(x + -2) + 47 Reorder the terms: -28 + -5 + 16x = 4(x + -2) + 47 Combine like terms: -28 + -5 = -33 -33 + 16x = 4(x + -2) + 47 Reorder the terms: -33 + 16x = 4(-2 + x) + 47 -33 + 16x = (-2 * 4 + x * 4) + 47 -33 + 16x = (-8 + 4x) + 47 Reorder the terms: -33 + 16x = -8 + 47 + 4x Combine like terms: -8 + 47 = 39 -33 + 16x = 39 + 4x Solving -33 + 16x = 39 + 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 = 39 + 4x + -4x Combine like terms: 16x + -4x = 12x -33 + 12x = 39 + 4x + -4x Combine like terms: 4x + -4x = 0 -33 + 12x = 39 + 0 -33 + 12x = 39 Add '33' to each side of the equation. -33 + 33 + 12x = 39 + 33 Combine like terms: -33 + 33 = 0 0 + 12x = 39 + 33 12x = 39 + 33 Combine like terms: 39 + 33 = 72 12x = 72 Divide each side by '12'. x = 6 Simplifying x = 6
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