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Simplifying 4x + -32 = 4(3x + -2) Reorder the terms: -32 + 4x = 4(3x + -2) Reorder the terms: -32 + 4x = 4(-2 + 3x) -32 + 4x = (-2 * 4 + 3x * 4) -32 + 4x = (-8 + 12x) Solving -32 + 4x = -8 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -32 + 4x + -12x = -8 + 12x + -12x Combine like terms: 4x + -12x = -8x -32 + -8x = -8 + 12x + -12x Combine like terms: 12x + -12x = 0 -32 + -8x = -8 + 0 -32 + -8x = -8 Add '32' to each side of the equation. -32 + 32 + -8x = -8 + 32 Combine like terms: -32 + 32 = 0 0 + -8x = -8 + 32 -8x = -8 + 32 Combine like terms: -8 + 32 = 24 -8x = 24 Divide each side by '-8'. x = -3 Simplifying x = -3
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