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Simplifying 4(4x + -8) + -3 = 4(x + -2) + 57 Reorder the terms: 4(-8 + 4x) + -3 = 4(x + -2) + 57 (-8 * 4 + 4x * 4) + -3 = 4(x + -2) + 57 (-32 + 16x) + -3 = 4(x + -2) + 57 Reorder the terms: -32 + -3 + 16x = 4(x + -2) + 57 Combine like terms: -32 + -3 = -35 -35 + 16x = 4(x + -2) + 57 Reorder the terms: -35 + 16x = 4(-2 + x) + 57 -35 + 16x = (-2 * 4 + x * 4) + 57 -35 + 16x = (-8 + 4x) + 57 Reorder the terms: -35 + 16x = -8 + 57 + 4x Combine like terms: -8 + 57 = 49 -35 + 16x = 49 + 4x Solving -35 + 16x = 49 + 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. -35 + 16x + -4x = 49 + 4x + -4x Combine like terms: 16x + -4x = 12x -35 + 12x = 49 + 4x + -4x Combine like terms: 4x + -4x = 0 -35 + 12x = 49 + 0 -35 + 12x = 49 Add '35' to each side of the equation. -35 + 35 + 12x = 49 + 35 Combine like terms: -35 + 35 = 0 0 + 12x = 49 + 35 12x = 49 + 35 Combine like terms: 49 + 35 = 84 12x = 84 Divide each side by '12'. x = 7 Simplifying x = 7
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