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Simplifying 4(4x + -8) + -5 = 4(x + -3) + 35 Reorder the terms: 4(-8 + 4x) + -5 = 4(x + -3) + 35 (-8 * 4 + 4x * 4) + -5 = 4(x + -3) + 35 (-32 + 16x) + -5 = 4(x + -3) + 35 Reorder the terms: -32 + -5 + 16x = 4(x + -3) + 35 Combine like terms: -32 + -5 = -37 -37 + 16x = 4(x + -3) + 35 Reorder the terms: -37 + 16x = 4(-3 + x) + 35 -37 + 16x = (-3 * 4 + x * 4) + 35 -37 + 16x = (-12 + 4x) + 35 Reorder the terms: -37 + 16x = -12 + 35 + 4x Combine like terms: -12 + 35 = 23 -37 + 16x = 23 + 4x Solving -37 + 16x = 23 + 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. -37 + 16x + -4x = 23 + 4x + -4x Combine like terms: 16x + -4x = 12x -37 + 12x = 23 + 4x + -4x Combine like terms: 4x + -4x = 0 -37 + 12x = 23 + 0 -37 + 12x = 23 Add '37' to each side of the equation. -37 + 37 + 12x = 23 + 37 Combine like terms: -37 + 37 = 0 0 + 12x = 23 + 37 12x = 23 + 37 Combine like terms: 23 + 37 = 60 12x = 60 Divide each side by '12'. x = 5 Simplifying x = 5
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