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Simplifying 4(3x + -2) + -32 = 8x + -4 Reorder the terms: 4(-2 + 3x) + -32 = 8x + -4 (-2 * 4 + 3x * 4) + -32 = 8x + -4 (-8 + 12x) + -32 = 8x + -4 Reorder the terms: -8 + -32 + 12x = 8x + -4 Combine like terms: -8 + -32 = -40 -40 + 12x = 8x + -4 Reorder the terms: -40 + 12x = -4 + 8x Solving -40 + 12x = -4 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -40 + 12x + -8x = -4 + 8x + -8x Combine like terms: 12x + -8x = 4x -40 + 4x = -4 + 8x + -8x Combine like terms: 8x + -8x = 0 -40 + 4x = -4 + 0 -40 + 4x = -4 Add '40' to each side of the equation. -40 + 40 + 4x = -4 + 40 Combine like terms: -40 + 40 = 0 0 + 4x = -4 + 40 4x = -4 + 40 Combine like terms: -4 + 40 = 36 4x = 36 Divide each side by '4'. x = 9 Simplifying x = 9
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