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Simplifying 4(3x + -8) + -3 = 4(x + -5) + 9 Reorder the terms: 4(-8 + 3x) + -3 = 4(x + -5) + 9 (-8 * 4 + 3x * 4) + -3 = 4(x + -5) + 9 (-32 + 12x) + -3 = 4(x + -5) + 9 Reorder the terms: -32 + -3 + 12x = 4(x + -5) + 9 Combine like terms: -32 + -3 = -35 -35 + 12x = 4(x + -5) + 9 Reorder the terms: -35 + 12x = 4(-5 + x) + 9 -35 + 12x = (-5 * 4 + x * 4) + 9 -35 + 12x = (-20 + 4x) + 9 Reorder the terms: -35 + 12x = -20 + 9 + 4x Combine like terms: -20 + 9 = -11 -35 + 12x = -11 + 4x Solving -35 + 12x = -11 + 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 + 12x + -4x = -11 + 4x + -4x Combine like terms: 12x + -4x = 8x -35 + 8x = -11 + 4x + -4x Combine like terms: 4x + -4x = 0 -35 + 8x = -11 + 0 -35 + 8x = -11 Add '35' to each side of the equation. -35 + 35 + 8x = -11 + 35 Combine like terms: -35 + 35 = 0 0 + 8x = -11 + 35 8x = -11 + 35 Combine like terms: -11 + 35 = 24 8x = 24 Divide each side by '8'. x = 3 Simplifying x = 3
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